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Finding the Fourth Proportional to 176.56, 243.39 and 123.95

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Solution

The fourth proportional to 176.56, 243.39 and 123.95 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.56 : 243.39 = 123.95 : x
  2. Step 2: Convert to fraction form
    176.56/243.39 = 123.95/x
  3. Step 3: Cross multiply
    176.56x = 243.39 × 123.95
  4. Step 4: Simplify right side
    176.56x = 30,167.44
  5. Step 5: Solve for x
    x = 30,167.44/176.56
  6. Step 6: Final answer
    x = 170.86

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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.