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Finding the Fourth Proportional to 175.31, 263.04 and 77.80

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Solution

The fourth proportional to 175.31, 263.04 and 77.80 is: 116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.31 : 263.04 = 77.80 : x
  2. Step 2: Convert to fraction form
    175.31/263.04 = 77.80/x
  3. Step 3: Cross multiply
    175.31x = 263.04 × 77.80
  4. Step 4: Simplify right side
    175.31x = 20,463.20
  5. Step 5: Solve for x
    x = 20,463.20/175.31
  6. Step 6: Final answer
    x = 116.73

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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.