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Finding the Fourth Proportional to 175.33, 262.98 and 77.86

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Solution

The fourth proportional to 175.33, 262.98 and 77.86 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.33 : 262.98 = 77.86 : x
  2. Step 2: Convert to fraction form
    175.33/262.98 = 77.86/x
  3. Step 3: Cross multiply
    175.33x = 262.98 × 77.86
  4. Step 4: Simplify right side
    175.33x = 20,475.62
  5. Step 5: Solve for x
    x = 20,475.62/175.33
  6. Step 6: Final answer
    x = 116.78

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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.