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Finding the Fourth Proportional to 250.87, 375.90 and 178.39

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Solution

The fourth proportional to 250.87, 375.90 and 178.39 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.87 : 375.90 = 178.39 : x
  2. Step 2: Convert to fraction form
    250.87/375.90 = 178.39/x
  3. Step 3: Cross multiply
    250.87x = 375.90 × 178.39
  4. Step 4: Simplify right side
    250.87x = 67,056.80
  5. Step 5: Solve for x
    x = 67,056.80/250.87
  6. Step 6: Final answer
    x = 267.30

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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.