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Finding the Fourth Proportional to 458.12, 686.49 and 355.15

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Solution

The fourth proportional to 458.12, 686.49 and 355.15 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 686.49 = 355.15 : x
  2. Step 2: Convert to fraction form
    458.12/686.49 = 355.15/x
  3. Step 3: Cross multiply
    458.12x = 686.49 × 355.15
  4. Step 4: Simplify right side
    458.12x = 243,806.45
  5. Step 5: Solve for x
    x = 243,806.45/458.12
  6. Step 6: Final answer
    x = 532.19

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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.