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Finding the Fourth Proportional to 369.20, 553.82 and 125.70

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Solution

The fourth proportional to 369.20, 553.82 and 125.70 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 553.82 = 125.70 : x
  2. Step 2: Convert to fraction form
    369.20/553.82 = 125.70/x
  3. Step 3: Cross multiply
    369.20x = 553.82 × 125.70
  4. Step 4: Simplify right side
    369.20x = 69,614.55
  5. Step 5: Solve for x
    x = 69,614.55/369.20
  6. Step 6: Final answer
    x = 188.56

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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.