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Finding the Fourth Proportional to 416.48, 624.77 and 142.50

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Solution

The fourth proportional to 416.48, 624.77 and 142.50 is: 213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 624.77 = 142.50 : x
  2. Step 2: Convert to fraction form
    416.48/624.77 = 142.50/x
  3. Step 3: Cross multiply
    416.48x = 624.77 × 142.50
  4. Step 4: Simplify right side
    416.48x = 89,029.73
  5. Step 5: Solve for x
    x = 89,029.73/416.48
  6. Step 6: Final answer
    x = 213.77

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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.