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Finding the Fourth Proportional to 457.47, 686.34 and 197.55

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Solution

The fourth proportional to 457.47, 686.34 and 197.55 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.47 : 686.34 = 197.55 : x
  2. Step 2: Convert to fraction form
    457.47/686.34 = 197.55/x
  3. Step 3: Cross multiply
    457.47x = 686.34 × 197.55
  4. Step 4: Simplify right side
    457.47x = 135,586.47
  5. Step 5: Solve for x
    x = 135,586.47/457.47
  6. Step 6: Final answer
    x = 296.38

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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.