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Finding the Fourth Proportional to 178.39, 246 and 112.87

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Solution

The fourth proportional to 178.39, 246 and 112.87 is: 155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.39 : 246 = 112.87 : x
  2. Step 2: Convert to fraction form
    178.39/246 = 112.87/x
  3. Step 3: Cross multiply
    178.39x = 246 × 112.87
  4. Step 4: Simplify right side
    178.39x = 27,766.02
  5. Step 5: Solve for x
    x = 27,766.02/178.39
  6. Step 6: Final answer
    x = 155.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.