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Finding the Fourth Proportional to 29, 42.88 and 28.92

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Solution

The fourth proportional to 29, 42.88 and 28.92 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29 : 42.88 = 28.92 : x
  2. Step 2: Convert to fraction form
    29/42.88 = 28.92/x
  3. Step 3: Cross multiply
    29x = 42.88 × 28.92
  4. Step 4: Simplify right side
    29x = 1,240.09
  5. Step 5: Solve for x
    x = 1,240.09/29
  6. Step 6: Final answer
    x = 42.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.