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Finding the Fourth Proportional to 176.70, 243.86 and 112.85

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Solution

The fourth proportional to 176.70, 243.86 and 112.85 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.70 : 243.86 = 112.85 : x
  2. Step 2: Convert to fraction form
    176.70/243.86 = 112.85/x
  3. Step 3: Cross multiply
    176.70x = 243.86 × 112.85
  4. Step 4: Simplify right side
    176.70x = 27,519.60
  5. Step 5: Solve for x
    x = 27,519.60/176.70
  6. Step 6: Final answer
    x = 155.74

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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.