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Finding the Fourth Proportional to 458.06, 686.50 and 197.75

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Solution

The fourth proportional to 458.06, 686.50 and 197.75 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 686.50 = 197.75 : x
  2. Step 2: Convert to fraction form
    458.06/686.50 = 197.75/x
  3. Step 3: Cross multiply
    458.06x = 686.50 × 197.75
  4. Step 4: Simplify right side
    458.06x = 135,755.38
  5. Step 5: Solve for x
    x = 135,755.38/458.06
  6. Step 6: Final answer
    x = 296.37

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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.