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Finding the Fourth Proportional to 118.29, 176.94 and 76.44

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Solution

The fourth proportional to 118.29, 176.94 and 76.44 is: 114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.29 : 176.94 = 76.44 : x
  2. Step 2: Convert to fraction form
    118.29/176.94 = 76.44/x
  3. Step 3: Cross multiply
    118.29x = 176.94 × 76.44
  4. Step 4: Simplify right side
    118.29x = 13,525.29
  5. Step 5: Solve for x
    x = 13,525.29/118.29
  6. Step 6: Final answer
    x = 114.34

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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.