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Finding the Fourth Proportional to 416.98, 624.88 and 156.71

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Solution

The fourth proportional to 416.98, 624.88 and 156.71 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.98 : 624.88 = 156.71 : x
  2. Step 2: Convert to fraction form
    416.98/624.88 = 156.71/x
  3. Step 3: Cross multiply
    416.98x = 624.88 × 156.71
  4. Step 4: Simplify right side
    416.98x = 97,926.90
  5. Step 5: Solve for x
    x = 97,926.90/416.98
  6. Step 6: Final answer
    x = 234.85

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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.