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Finding the Fourth Proportional to 175.76, 263.42 and 78.24

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Solution

The fourth proportional to 175.76, 263.42 and 78.24 is: 117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.76 : 263.42 = 78.24 : x
  2. Step 2: Convert to fraction form
    175.76/263.42 = 78.24/x
  3. Step 3: Cross multiply
    175.76x = 263.42 × 78.24
  4. Step 4: Simplify right side
    175.76x = 20,609.98
  5. Step 5: Solve for x
    x = 20,609.98/175.76
  6. Step 6: Final answer
    x = 117.26

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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.