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Finding the Fourth Proportional to 24.17, 33.37 and 20.53

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Solution

The fourth proportional to 24.17, 33.37 and 20.53 is: 28.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.17 : 33.37 = 20.53 : x
  2. Step 2: Convert to fraction form
    24.17/33.37 = 20.53/x
  3. Step 3: Cross multiply
    24.17x = 33.37 × 20.53
  4. Step 4: Simplify right side
    24.17x = 684.95
  5. Step 5: Solve for x
    x = 684.95/24.17
  6. Step 6: Final answer
    x = 28.34

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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.