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Finding the Fourth Proportional to 416.68, 624.78 and 142.56

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Solution

The fourth proportional to 416.68, 624.78 and 142.56 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 624.78 = 142.56 : x
  2. Step 2: Convert to fraction form
    416.68/624.78 = 142.56/x
  3. Step 3: Cross multiply
    416.68x = 624.78 × 142.56
  4. Step 4: Simplify right side
    416.68x = 89,068.64
  5. Step 5: Solve for x
    x = 89,068.64/416.68
  6. Step 6: Final answer
    x = 213.76

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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.