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Finding the Fourth Proportional to 38.40, 57.54 and 29.46

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Solution

The fourth proportional to 38.40, 57.54 and 29.46 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.40 : 57.54 = 29.46 : x
  2. Step 2: Convert to fraction form
    38.40/57.54 = 29.46/x
  3. Step 3: Cross multiply
    38.40x = 57.54 × 29.46
  4. Step 4: Simplify right side
    38.40x = 1,695.13
  5. Step 5: Solve for x
    x = 1,695.13/38.40
  6. Step 6: Final answer
    x = 44.14

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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.