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Finding the Fourth Proportional to 22.76, 34.08 and 20.58

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Solution

The fourth proportional to 22.76, 34.08 and 20.58 is: 30.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.76 : 34.08 = 20.58 : x
  2. Step 2: Convert to fraction form
    22.76/34.08 = 20.58/x
  3. Step 3: Cross multiply
    22.76x = 34.08 × 20.58
  4. Step 4: Simplify right side
    22.76x = 701.42
  5. Step 5: Solve for x
    x = 701.42/22.76
  6. Step 6: Final answer
    x = 30.81

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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.