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Finding the Fourth Proportional to 38.40, 57.20 and 37.44

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Solution

The fourth proportional to 38.40, 57.20 and 37.44 is: 55.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.40 : 57.20 = 37.44 : x
  2. Step 2: Convert to fraction form
    38.40/57.20 = 37.44/x
  3. Step 3: Cross multiply
    38.40x = 57.20 × 37.44
  4. Step 4: Simplify right side
    38.40x = 2,141.38
  5. Step 5: Solve for x
    x = 2,141.38/38.40
  6. Step 6: Final answer
    x = 55.77

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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.