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Finding the Fourth Proportional to 402.31, 603.54 and 265.47

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Solution

The fourth proportional to 402.31, 603.54 and 265.47 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.31 : 603.54 = 265.47 : x
  2. Step 2: Convert to fraction form
    402.31/603.54 = 265.47/x
  3. Step 3: Cross multiply
    402.31x = 603.54 × 265.47
  4. Step 4: Simplify right side
    402.31x = 160,221.76
  5. Step 5: Solve for x
    x = 160,221.76/402.31
  6. Step 6: Final answer
    x = 398.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.