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Finding the Fourth Proportional to 54.25, 81.33 and 31.40

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Solution

The fourth proportional to 54.25, 81.33 and 31.40 is: 47.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.25 : 81.33 = 31.40 : x
  2. Step 2: Convert to fraction form
    54.25/81.33 = 31.40/x
  3. Step 3: Cross multiply
    54.25x = 81.33 × 31.40
  4. Step 4: Simplify right side
    54.25x = 2,553.76
  5. Step 5: Solve for x
    x = 2,553.76/54.25
  6. Step 6: Final answer
    x = 47.07

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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.