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Finding the Fourth Proportional to 79.58, 118.72 and 76.85

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Solution

The fourth proportional to 79.58, 118.72 and 76.85 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.58 : 118.72 = 76.85 : x
  2. Step 2: Convert to fraction form
    79.58/118.72 = 76.85/x
  3. Step 3: Cross multiply
    79.58x = 118.72 × 76.85
  4. Step 4: Simplify right side
    79.58x = 9,123.63
  5. Step 5: Solve for x
    x = 9,123.63/79.58
  6. Step 6: Final answer
    x = 114.65

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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.