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Finding the Fourth Proportional to 176.57, 243.35 and 123.94

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Solution

The fourth proportional to 176.57, 243.35 and 123.94 is: 170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 243.35 = 123.94 : x
  2. Step 2: Convert to fraction form
    176.57/243.35 = 123.94/x
  3. Step 3: Cross multiply
    176.57x = 243.35 × 123.94
  4. Step 4: Simplify right side
    176.57x = 30,160.80
  5. Step 5: Solve for x
    x = 30,160.80/176.57
  6. Step 6: Final answer
    x = 170.81

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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.