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Finding the Fourth Proportional to 174.75, 261.10 and 168.70

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Solution

The fourth proportional to 174.75, 261.10 and 168.70 is: 252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 261.10 = 168.70 : x
  2. Step 2: Convert to fraction form
    174.75/261.10 = 168.70/x
  3. Step 3: Cross multiply
    174.75x = 261.10 × 168.70
  4. Step 4: Simplify right side
    174.75x = 44,047.57
  5. Step 5: Solve for x
    x = 44,047.57/174.75
  6. Step 6: Final answer
    x = 252.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.