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Finding the Fourth Proportional to 31.47, 46.85 and 30.97

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Solution

The fourth proportional to 31.47, 46.85 and 30.97 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.47 : 46.85 = 30.97 : x
  2. Step 2: Convert to fraction form
    31.47/46.85 = 30.97/x
  3. Step 3: Cross multiply
    31.47x = 46.85 × 30.97
  4. Step 4: Simplify right side
    31.47x = 1,450.94
  5. Step 5: Solve for x
    x = 1,450.94/31.47
  6. Step 6: Final answer
    x = 46.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.