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Finding the Fourth Proportional to 29, 39.96 and 24.12

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Solution

The fourth proportional to 29, 39.96 and 24.12 is: 33.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 39.96 = 24.12 : x
  2. Step 2: Convert to fraction form
    29/39.96 = 24.12/x
  3. Step 3: Cross multiply
    29x = 39.96 × 24.12
  4. Step 4: Simplify right side
    29x = 963.84
  5. Step 5: Solve for x
    x = 963.84/29
  6. Step 6: Final answer
    x = 33.24

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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.