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Finding the Fourth Proportional to 28.65, 42.88 and 24.96

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Solution

The fourth proportional to 28.65, 42.88 and 24.96 is: 37.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.65 : 42.88 = 24.96 : x
  2. Step 2: Convert to fraction form
    28.65/42.88 = 24.96/x
  3. Step 3: Cross multiply
    28.65x = 42.88 × 24.96
  4. Step 4: Simplify right side
    28.65x = 1,070.43
  5. Step 5: Solve for x
    x = 1,070.43/28.65
  6. Step 6: Final answer
    x = 37.36

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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.