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Finding the Fourth Proportional to 174.67, 261.87 and 105.28

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Solution

The fourth proportional to 174.67, 261.87 and 105.28 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.67 : 261.87 = 105.28 : x
  2. Step 2: Convert to fraction form
    174.67/261.87 = 105.28/x
  3. Step 3: Cross multiply
    174.67x = 261.87 × 105.28
  4. Step 4: Simplify right side
    174.67x = 27,569.67
  5. Step 5: Solve for x
    x = 27,569.67/174.67
  6. Step 6: Final answer
    x = 157.84

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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.