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Finding the Fourth Proportional to 402.55, 603.80 and 142.61

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Solution

The fourth proportional to 402.55, 603.80 and 142.61 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.55 : 603.80 = 142.61 : x
  2. Step 2: Convert to fraction form
    402.55/603.80 = 142.61/x
  3. Step 3: Cross multiply
    402.55x = 603.80 × 142.61
  4. Step 4: Simplify right side
    402.55x = 86,108.92
  5. Step 5: Solve for x
    x = 86,108.92/402.55
  6. Step 6: Final answer
    x = 213.91

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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.