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Finding the Fourth Proportional to 24.77, 34.14 and 20.58

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Solution

The fourth proportional to 24.77, 34.14 and 20.58 is: 28.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.77 : 34.14 = 20.58 : x
  2. Step 2: Convert to fraction form
    24.77/34.14 = 20.58/x
  3. Step 3: Cross multiply
    24.77x = 34.14 × 20.58
  4. Step 4: Simplify right side
    24.77x = 702.60
  5. Step 5: Solve for x
    x = 702.60/24.77
  6. Step 6: Final answer
    x = 28.37

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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.