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Finding the Fourth Proportional to 74.81, 112.20 and 20.71

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Solution

The fourth proportional to 74.81, 112.20 and 20.71 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 112.20 = 20.71 : x
  2. Step 2: Convert to fraction form
    74.81/112.20 = 20.71/x
  3. Step 3: Cross multiply
    74.81x = 112.20 × 20.71
  4. Step 4: Simplify right side
    74.81x = 2,323.66
  5. Step 5: Solve for x
    x = 2,323.66/74.81
  6. Step 6: Final answer
    x = 31.06

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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.