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Finding the Fourth Proportional to 458.12, 686.87 and 252.78

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Solution

The fourth proportional to 458.12, 686.87 and 252.78 is: 379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 686.87 = 252.78 : x
  2. Step 2: Convert to fraction form
    458.12/686.87 = 252.78/x
  3. Step 3: Cross multiply
    458.12x = 686.87 × 252.78
  4. Step 4: Simplify right side
    458.12x = 173,627.00
  5. Step 5: Solve for x
    x = 173,627.00/458.12
  6. Step 6: Final answer
    x = 379.00

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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.