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Finding the Fourth Proportional to 402.08, 603.06 and 158.78

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Solution

The fourth proportional to 402.08, 603.06 and 158.78 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.08 : 603.06 = 158.78 : x
  2. Step 2: Convert to fraction form
    402.08/603.06 = 158.78/x
  3. Step 3: Cross multiply
    402.08x = 603.06 × 158.78
  4. Step 4: Simplify right side
    402.08x = 95,753.87
  5. Step 5: Solve for x
    x = 95,753.87/402.08
  6. Step 6: Final answer
    x = 238.15

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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.