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Finding the Fourth Proportional to 416.50, 624.70 and 142.57

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Solution

The fourth proportional to 416.50, 624.70 and 142.57 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 624.70 = 142.57 : x
  2. Step 2: Convert to fraction form
    416.50/624.70 = 142.57/x
  3. Step 3: Cross multiply
    416.50x = 624.70 × 142.57
  4. Step 4: Simplify right side
    416.50x = 89,064.44
  5. Step 5: Solve for x
    x = 89,064.44/416.50
  6. Step 6: Final answer
    x = 213.84

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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.