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Finding the Fourth Proportional to 418.47, 627.59 and 158.61

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Solution

The fourth proportional to 418.47, 627.59 and 158.61 is: 237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.47 : 627.59 = 158.61 : x
  2. Step 2: Convert to fraction form
    418.47/627.59 = 158.61/x
  3. Step 3: Cross multiply
    418.47x = 627.59 × 158.61
  4. Step 4: Simplify right side
    418.47x = 99,542.05
  5. Step 5: Solve for x
    x = 99,542.05/418.47
  6. Step 6: Final answer
    x = 237.87

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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.