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Finding the Fourth Proportional to 174.70, 260.69 and 159.37

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Solution

The fourth proportional to 174.70, 260.69 and 159.37 is: 237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.70 : 260.69 = 159.37 : x
  2. Step 2: Convert to fraction form
    174.70/260.69 = 159.37/x
  3. Step 3: Cross multiply
    174.70x = 260.69 × 159.37
  4. Step 4: Simplify right side
    174.70x = 41,546.17
  5. Step 5: Solve for x
    x = 41,546.17/174.70
  6. Step 6: Final answer
    x = 237.81

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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.