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Finding the Fourth Proportional to 370.38, 554.97 and 126.78

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Solution

The fourth proportional to 370.38, 554.97 and 126.78 is: 189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.38 : 554.97 = 126.78 : x
  2. Step 2: Convert to fraction form
    370.38/554.97 = 126.78/x
  3. Step 3: Cross multiply
    370.38x = 554.97 × 126.78
  4. Step 4: Simplify right side
    370.38x = 70,355.69
  5. Step 5: Solve for x
    x = 70,355.69/370.38
  6. Step 6: Final answer
    x = 189.95

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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.