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Finding the Fourth Proportional to 31.27, 47.17 and 30.21

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Solution

The fourth proportional to 31.27, 47.17 and 30.21 is: 45.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.27 : 47.17 = 30.21 : x
  2. Step 2: Convert to fraction form
    31.27/47.17 = 30.21/x
  3. Step 3: Cross multiply
    31.27x = 47.17 × 30.21
  4. Step 4: Simplify right side
    31.27x = 1,424.70
  5. Step 5: Solve for x
    x = 1,424.70/31.27
  6. Step 6: Final answer
    x = 45.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.