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Finding the Fourth Proportional to 22.59, 31.29 and 20.16

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Solution

The fourth proportional to 22.59, 31.29 and 20.16 is: 27.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 31.29 = 20.16 : x
  2. Step 2: Convert to fraction form
    22.59/31.29 = 20.16/x
  3. Step 3: Cross multiply
    22.59x = 31.29 × 20.16
  4. Step 4: Simplify right side
    22.59x = 630.81
  5. Step 5: Solve for x
    x = 630.81/22.59
  6. Step 6: Final answer
    x = 27.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.