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Finding the Fourth Proportional to 178.77, 266.70 and 167.85

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Solution

The fourth proportional to 178.77, 266.70 and 167.85 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 266.70 = 167.85 : x
  2. Step 2: Convert to fraction form
    178.77/266.70 = 167.85/x
  3. Step 3: Cross multiply
    178.77x = 266.70 × 167.85
  4. Step 4: Simplify right side
    178.77x = 44,765.60
  5. Step 5: Solve for x
    x = 44,765.60/178.77
  6. Step 6: Final answer
    x = 250.41

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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.