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Finding the Fourth Proportional to 175.18, 262.38 and 92.66

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Solution

The fourth proportional to 175.18, 262.38 and 92.66 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.18 : 262.38 = 92.66 : x
  2. Step 2: Convert to fraction form
    175.18/262.38 = 92.66/x
  3. Step 3: Cross multiply
    175.18x = 262.38 × 92.66
  4. Step 4: Simplify right side
    175.18x = 24,311.25
  5. Step 5: Solve for x
    x = 24,311.25/175.18
  6. Step 6: Final answer
    x = 138.78

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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.