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Finding the Fourth Proportional to 385.43, 578.14 and 147.97

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Solution

The fourth proportional to 385.43, 578.14 and 147.97 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.43 : 578.14 = 147.97 : x
  2. Step 2: Convert to fraction form
    385.43/578.14 = 147.97/x
  3. Step 3: Cross multiply
    385.43x = 578.14 × 147.97
  4. Step 4: Simplify right side
    385.43x = 85,543.75
  5. Step 5: Solve for x
    x = 85,543.75/385.43
  6. Step 6: Final answer
    x = 221.94

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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.