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Finding the Fourth Proportional to 174.22, 260.52 and 171.79

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Solution

The fourth proportional to 174.22, 260.52 and 171.79 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.22 : 260.52 = 171.79 : x
  2. Step 2: Convert to fraction form
    174.22/260.52 = 171.79/x
  3. Step 3: Cross multiply
    174.22x = 260.52 × 171.79
  4. Step 4: Simplify right side
    174.22x = 44,754.73
  5. Step 5: Solve for x
    x = 44,754.73/174.22
  6. Step 6: Final answer
    x = 256.89

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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.