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Finding the Fourth Proportional to 250.38, 375.63 and 77.05

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Solution

The fourth proportional to 250.38, 375.63 and 77.05 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.38 : 375.63 = 77.05 : x
  2. Step 2: Convert to fraction form
    250.38/375.63 = 77.05/x
  3. Step 3: Cross multiply
    250.38x = 375.63 × 77.05
  4. Step 4: Simplify right side
    250.38x = 28,942.29
  5. Step 5: Solve for x
    x = 28,942.29/250.38
  6. Step 6: Final answer
    x = 115.59

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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.