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Finding the Fourth Proportional to 38.31, 52.78 and 31.72

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Solution

The fourth proportional to 38.31, 52.78 and 31.72 is: 43.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.31 : 52.78 = 31.72 : x
  2. Step 2: Convert to fraction form
    38.31/52.78 = 31.72/x
  3. Step 3: Cross multiply
    38.31x = 52.78 × 31.72
  4. Step 4: Simplify right side
    38.31x = 1,674.18
  5. Step 5: Solve for x
    x = 1,674.18/38.31
  6. Step 6: Final answer
    x = 43.70

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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.