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Finding the Fourth Proportional to 208.28, 311.12 and 167.78

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Solution

The fourth proportional to 208.28, 311.12 and 167.78 is: 250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 311.12 = 167.78 : x
  2. Step 2: Convert to fraction form
    208.28/311.12 = 167.78/x
  3. Step 3: Cross multiply
    208.28x = 311.12 × 167.78
  4. Step 4: Simplify right side
    208.28x = 52,199.71
  5. Step 5: Solve for x
    x = 52,199.71/208.28
  6. Step 6: Final answer
    x = 250.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.