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Finding the Fourth Proportional to 24, 32.96 and 21.56

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Solution

The fourth proportional to 24, 32.96 and 21.56 is: 29.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 32.96 = 21.56 : x
  2. Step 2: Convert to fraction form
    24/32.96 = 21.56/x
  3. Step 3: Cross multiply
    24x = 32.96 × 21.56
  4. Step 4: Simplify right side
    24x = 710.62
  5. Step 5: Solve for x
    x = 710.62/24
  6. Step 6: Final answer
    x = 29.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.