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Finding the Fourth Proportional to 174.62, 262.08 and 142.49

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Solution

The fourth proportional to 174.62, 262.08 and 142.49 is: 213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.62 : 262.08 = 142.49 : x
  2. Step 2: Convert to fraction form
    174.62/262.08 = 142.49/x
  3. Step 3: Cross multiply
    174.62x = 262.08 × 142.49
  4. Step 4: Simplify right side
    174.62x = 37,342.47
  5. Step 5: Solve for x
    x = 37,342.47/174.62
  6. Step 6: Final answer
    x = 213.86

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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.