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Finding the Fourth Proportional to 174.28, 261.82 and 110.12

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Solution

The fourth proportional to 174.28, 261.82 and 110.12 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.28 : 261.82 = 110.12 : x
  2. Step 2: Convert to fraction form
    174.28/261.82 = 110.12/x
  3. Step 3: Cross multiply
    174.28x = 261.82 × 110.12
  4. Step 4: Simplify right side
    174.28x = 28,831.62
  5. Step 5: Solve for x
    x = 28,831.62/174.28
  6. Step 6: Final answer
    x = 165.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.