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Finding the Fourth Proportional to 38.61, 57.72 and 32.91

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Solution

The fourth proportional to 38.61, 57.72 and 32.91 is: 49.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 57.72 = 32.91 : x
  2. Step 2: Convert to fraction form
    38.61/57.72 = 32.91/x
  3. Step 3: Cross multiply
    38.61x = 57.72 × 32.91
  4. Step 4: Simplify right side
    38.61x = 1,899.57
  5. Step 5: Solve for x
    x = 1,899.57/38.61
  6. Step 6: Final answer
    x = 49.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.