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Finding the Fourth Proportional to 421.92, 581.52 and 290.76

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Solution

The fourth proportional to 421.92, 581.52 and 290.76 is: 400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 581.52 = 290.76 : x
  2. Step 2: Convert to fraction form
    421.92/581.52 = 290.76/x
  3. Step 3: Cross multiply
    421.92x = 581.52 × 290.76
  4. Step 4: Simplify right side
    421.92x = 169,082.76
  5. Step 5: Solve for x
    x = 169,082.76/421.92
  6. Step 6: Final answer
    x = 400.75

Related Problems

Find fourth proportional to 210.96, 290.76 and 145.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.