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Finding the Fourth Proportional to 38.14, 52.65 and 31.24

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Solution

The fourth proportional to 38.14, 52.65 and 31.24 is: 43.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 52.65 = 31.24 : x
  2. Step 2: Convert to fraction form
    38.14/52.65 = 31.24/x
  3. Step 3: Cross multiply
    38.14x = 52.65 × 31.24
  4. Step 4: Simplify right side
    38.14x = 1,644.79
  5. Step 5: Solve for x
    x = 1,644.79/38.14
  6. Step 6: Final answer
    x = 43.12

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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.