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Finding the Fourth Proportional to 458.07, 687.03 and 149.92

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Solution

The fourth proportional to 458.07, 687.03 and 149.92 is: 224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.07 : 687.03 = 149.92 : x
  2. Step 2: Convert to fraction form
    458.07/687.03 = 149.92/x
  3. Step 3: Cross multiply
    458.07x = 687.03 × 149.92
  4. Step 4: Simplify right side
    458.07x = 102,999.54
  5. Step 5: Solve for x
    x = 102,999.54/458.07
  6. Step 6: Final answer
    x = 224.86

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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.