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Finding the Fourth Proportional to 31.67, 47.43 and 30.91

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Solution

The fourth proportional to 31.67, 47.43 and 30.91 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.67 : 47.43 = 30.91 : x
  2. Step 2: Convert to fraction form
    31.67/47.43 = 30.91/x
  3. Step 3: Cross multiply
    31.67x = 47.43 × 30.91
  4. Step 4: Simplify right side
    31.67x = 1,465.82
  5. Step 5: Solve for x
    x = 1,465.82/31.67
  6. Step 6: Final answer
    x = 46.28

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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.