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Finding the Fourth Proportional to 402.62, 603.70 and 158.87

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Solution

The fourth proportional to 402.62, 603.70 and 158.87 is: 238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.62 : 603.70 = 158.87 : x
  2. Step 2: Convert to fraction form
    402.62/603.70 = 158.87/x
  3. Step 3: Cross multiply
    402.62x = 603.70 × 158.87
  4. Step 4: Simplify right side
    402.62x = 95,910.93
  5. Step 5: Solve for x
    x = 95,910.93/402.62
  6. Step 6: Final answer
    x = 238.22

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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.