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Finding the Fourth Proportional to 225.38, 310.99 and 125.78

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Solution

The fourth proportional to 225.38, 310.99 and 125.78 is: 173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 310.99 = 125.78 : x
  2. Step 2: Convert to fraction form
    225.38/310.99 = 125.78/x
  3. Step 3: Cross multiply
    225.38x = 310.99 × 125.78
  4. Step 4: Simplify right side
    225.38x = 39,118.23
  5. Step 5: Solve for x
    x = 39,118.23/225.38
  6. Step 6: Final answer
    x = 173.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.