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Finding the Fourth Proportional to 47.97, 66.20 and 31.60

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Solution

The fourth proportional to 47.97, 66.20 and 31.60 is: 43.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 66.20 = 31.60 : x
  2. Step 2: Convert to fraction form
    47.97/66.20 = 31.60/x
  3. Step 3: Cross multiply
    47.97x = 66.20 × 31.60
  4. Step 4: Simplify right side
    47.97x = 2,091.43
  5. Step 5: Solve for x
    x = 2,091.43/47.97
  6. Step 6: Final answer
    x = 43.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.