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Finding the Fourth Proportional to 250.61, 375.81 and 113.61

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Solution

The fourth proportional to 250.61, 375.81 and 113.61 is: 170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.61 : 375.81 = 113.61 : x
  2. Step 2: Convert to fraction form
    250.61/375.81 = 113.61/x
  3. Step 3: Cross multiply
    250.61x = 375.81 × 113.61
  4. Step 4: Simplify right side
    250.61x = 42,696.76
  5. Step 5: Solve for x
    x = 42,696.76/250.61
  6. Step 6: Final answer
    x = 170.37

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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.