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Finding the Fourth Proportional to 421.69, 581.90 and 235.19

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Solution

The fourth proportional to 421.69, 581.90 and 235.19 is: 324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 581.90 = 235.19 : x
  2. Step 2: Convert to fraction form
    421.69/581.90 = 235.19/x
  3. Step 3: Cross multiply
    421.69x = 581.90 × 235.19
  4. Step 4: Simplify right side
    421.69x = 136,857.06
  5. Step 5: Solve for x
    x = 136,857.06/421.69
  6. Step 6: Final answer
    x = 324.54

Related Problems

Find fourth proportional to 210.85, 290.95 and 117.60
Half scale
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Double scale
Find fourth proportional to 422.69, 583.28 and 236.19
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.