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Finding the Fourth Proportional to 79.49, 118.44 and 76.00

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Solution

The fourth proportional to 79.49, 118.44 and 76.00 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.49 : 118.44 = 76.00 : x
  2. Step 2: Convert to fraction form
    79.49/118.44 = 76.00/x
  3. Step 3: Cross multiply
    79.49x = 118.44 × 76.00
  4. Step 4: Simplify right side
    79.49x = 9,000.85
  5. Step 5: Solve for x
    x = 9,000.85/79.49
  6. Step 6: Final answer
    x = 113.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.