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Finding the Fourth Proportional to 174.31, 260.17 and 133.54

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Solution

The fourth proportional to 174.31, 260.17 and 133.54 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 260.17 = 133.54 : x
  2. Step 2: Convert to fraction form
    174.31/260.17 = 133.54/x
  3. Step 3: Cross multiply
    174.31x = 260.17 × 133.54
  4. Step 4: Simplify right side
    174.31x = 34,743.10
  5. Step 5: Solve for x
    x = 34,743.10/174.31
  6. Step 6: Final answer
    x = 199.32

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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.