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Finding the Fourth Proportional to 28.70, 43.08 and 24.20

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Solution

The fourth proportional to 28.70, 43.08 and 24.20 is: 36.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.70 : 43.08 = 24.20 : x
  2. Step 2: Convert to fraction form
    28.70/43.08 = 24.20/x
  3. Step 3: Cross multiply
    28.70x = 43.08 × 24.20
  4. Step 4: Simplify right side
    28.70x = 1,042.53
  5. Step 5: Solve for x
    x = 1,042.53/28.70
  6. Step 6: Final answer
    x = 36.32

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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.