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Finding the Fourth Proportional to 369.29, 553.97 and 125.75

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Solution

The fourth proportional to 369.29, 553.97 and 125.75 is: 188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.29 : 553.97 = 125.75 : x
  2. Step 2: Convert to fraction form
    369.29/553.97 = 125.75/x
  3. Step 3: Cross multiply
    369.29x = 553.97 × 125.75
  4. Step 4: Simplify right side
    369.29x = 69,663.43
  5. Step 5: Solve for x
    x = 69,663.43/369.29
  6. Step 6: Final answer
    x = 188.64

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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.