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Finding the Fourth Proportional to 174.47, 260.46 and 161.78

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Solution

The fourth proportional to 174.47, 260.46 and 161.78 is: 241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.47 : 260.46 = 161.78 : x
  2. Step 2: Convert to fraction form
    174.47/260.46 = 161.78/x
  3. Step 3: Cross multiply
    174.47x = 260.46 × 161.78
  4. Step 4: Simplify right side
    174.47x = 42,135.92
  5. Step 5: Solve for x
    x = 42,135.92/174.47
  6. Step 6: Final answer
    x = 241.52

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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.