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Finding the Fourth Proportional to 174.71, 260.44 and 166.85

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Solution

The fourth proportional to 174.71, 260.44 and 166.85 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 260.44 = 166.85 : x
  2. Step 2: Convert to fraction form
    174.71/260.44 = 166.85/x
  3. Step 3: Cross multiply
    174.71x = 260.44 × 166.85
  4. Step 4: Simplify right side
    174.71x = 43,453.58
  5. Step 5: Solve for x
    x = 43,453.58/174.71
  6. Step 6: Final answer
    x = 248.72

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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.