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Finding the Fourth Proportional to 458.25, 686.85 and 198.18

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Solution

The fourth proportional to 458.25, 686.85 and 198.18 is: 297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 686.85 = 198.18 : x
  2. Step 2: Convert to fraction form
    458.25/686.85 = 198.18/x
  3. Step 3: Cross multiply
    458.25x = 686.85 × 198.18
  4. Step 4: Simplify right side
    458.25x = 136,119.93
  5. Step 5: Solve for x
    x = 136,119.93/458.25
  6. Step 6: Final answer
    x = 297.04

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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.