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Finding the Fourth Proportional to 75.38, 103.55 and 63.70

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Solution

The fourth proportional to 75.38, 103.55 and 63.70 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 103.55 = 63.70 : x
  2. Step 2: Convert to fraction form
    75.38/103.55 = 63.70/x
  3. Step 3: Cross multiply
    75.38x = 103.55 × 63.70
  4. Step 4: Simplify right side
    75.38x = 6,595.56
  5. Step 5: Solve for x
    x = 6,595.56/75.38
  6. Step 6: Final answer
    x = 87.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.