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Finding the Fourth Proportional to 540.92, 746.04 and 331.12

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Solution

The fourth proportional to 540.92, 746.04 and 331.12 is: 456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 746.04 = 331.12 : x
  2. Step 2: Convert to fraction form
    540.92/746.04 = 331.12/x
  3. Step 3: Cross multiply
    540.92x = 746.04 × 331.12
  4. Step 4: Simplify right side
    540.92x = 247,028.76
  5. Step 5: Solve for x
    x = 247,028.76/540.92
  6. Step 6: Final answer
    x = 456.68

Related Problems

Find fourth proportional to 270.46, 373.02 and 165.56
Half scale
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Double scale
Find fourth proportional to 541.92, 747.42 and 332.12
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.