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Finding the Fourth Proportional to 402.97, 604.41 and 142.95

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Solution

The fourth proportional to 402.97, 604.41 and 142.95 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.97 : 604.41 = 142.95 : x
  2. Step 2: Convert to fraction form
    402.97/604.41 = 142.95/x
  3. Step 3: Cross multiply
    402.97x = 604.41 × 142.95
  4. Step 4: Simplify right side
    402.97x = 86,400.41
  5. Step 5: Solve for x
    x = 86,400.41/402.97
  6. Step 6: Final answer
    x = 214.41

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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.