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Finding the Fourth Proportional to 38.70, 57.65 and 36.40

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Solution

The fourth proportional to 38.70, 57.65 and 36.40 is: 54.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.70 : 57.65 = 36.40 : x
  2. Step 2: Convert to fraction form
    38.70/57.65 = 36.40/x
  3. Step 3: Cross multiply
    38.70x = 57.65 × 36.40
  4. Step 4: Simplify right side
    38.70x = 2,098.46
  5. Step 5: Solve for x
    x = 2,098.46/38.70
  6. Step 6: Final answer
    x = 54.22

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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.