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Finding the Fourth Proportional to 402.43, 605.48 and 240.24

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Solution

The fourth proportional to 402.43, 605.48 and 240.24 is: 361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.43 : 605.48 = 240.24 : x
  2. Step 2: Convert to fraction form
    402.43/605.48 = 240.24/x
  3. Step 3: Cross multiply
    402.43x = 605.48 × 240.24
  4. Step 4: Simplify right side
    402.43x = 145,460.52
  5. Step 5: Solve for x
    x = 145,460.52/402.43
  6. Step 6: Final answer
    x = 361.46

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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.