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Finding the Fourth Proportional to 179.55, 249.50 and 178.83

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Solution

The fourth proportional to 179.55, 249.50 and 178.83 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.55 : 249.50 = 178.83 : x
  2. Step 2: Convert to fraction form
    179.55/249.50 = 178.83/x
  3. Step 3: Cross multiply
    179.55x = 249.50 × 178.83
  4. Step 4: Simplify right side
    179.55x = 44,618.53
  5. Step 5: Solve for x
    x = 44,618.53/179.55
  6. Step 6: Final answer
    x = 248.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.