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Finding the Fourth Proportional to 51.92, 77.92 and 29.11

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Solution

The fourth proportional to 51.92, 77.92 and 29.11 is: 43.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.92 : 77.92 = 29.11 : x
  2. Step 2: Convert to fraction form
    51.92/77.92 = 29.11/x
  3. Step 3: Cross multiply
    51.92x = 77.92 × 29.11
  4. Step 4: Simplify right side
    51.92x = 2,268.25
  5. Step 5: Solve for x
    x = 2,268.25/51.92
  6. Step 6: Final answer
    x = 43.69

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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.