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Finding the Fourth Proportional to 402.42, 604.01 and 265.55

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Solution

The fourth proportional to 402.42, 604.01 and 265.55 is: 398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 604.01 = 265.55 : x
  2. Step 2: Convert to fraction form
    402.42/604.01 = 265.55/x
  3. Step 3: Cross multiply
    402.42x = 604.01 × 265.55
  4. Step 4: Simplify right side
    402.42x = 160,397.03
  5. Step 5: Solve for x
    x = 160,397.03/402.42
  6. Step 6: Final answer
    x = 398.58

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