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Finding the Fourth Proportional to 292.87, 404.20 and 168.56

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Solution

The fourth proportional to 292.87, 404.20 and 168.56 is: 232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.87 : 404.20 = 168.56 : x
  2. Step 2: Convert to fraction form
    292.87/404.20 = 168.56/x
  3. Step 3: Cross multiply
    292.87x = 404.20 × 168.56
  4. Step 4: Simplify right side
    292.87x = 68,132.98
  5. Step 5: Solve for x
    x = 68,132.98/292.87
  6. Step 6: Final answer
    x = 232.64

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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.