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Finding the Fourth Proportional to 458.42, 686.61 and 252.45

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Solution

The fourth proportional to 458.42, 686.61 and 252.45 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 686.61 = 252.45 : x
  2. Step 2: Convert to fraction form
    458.42/686.61 = 252.45/x
  3. Step 3: Cross multiply
    458.42x = 686.61 × 252.45
  4. Step 4: Simplify right side
    458.42x = 173,334.69
  5. Step 5: Solve for x
    x = 173,334.69/458.42
  6. Step 6: Final answer
    x = 378.12

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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.