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Finding the Fourth Proportional to 292.87, 404.17 and 168.57

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Solution

The fourth proportional to 292.87, 404.17 and 168.57 is: 232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.87 : 404.17 = 168.57 : x
  2. Step 2: Convert to fraction form
    292.87/404.17 = 168.57/x
  3. Step 3: Cross multiply
    292.87x = 404.17 × 168.57
  4. Step 4: Simplify right side
    292.87x = 68,128.49
  5. Step 5: Solve for x
    x = 68,128.49/292.87
  6. Step 6: Final answer
    x = 232.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.