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Finding the Fourth Proportional to 174.48, 260.92 and 142.16

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Solution

The fourth proportional to 174.48, 260.92 and 142.16 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.48 : 260.92 = 142.16 : x
  2. Step 2: Convert to fraction form
    174.48/260.92 = 142.16/x
  3. Step 3: Cross multiply
    174.48x = 260.92 × 142.16
  4. Step 4: Simplify right side
    174.48x = 37,092.39
  5. Step 5: Solve for x
    x = 37,092.39/174.48
  6. Step 6: Final answer
    x = 212.59

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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.