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Finding the Fourth Proportional to 79.64, 118.56 and 76.52

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Solution

The fourth proportional to 79.64, 118.56 and 76.52 is: 113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.64 : 118.56 = 76.52 : x
  2. Step 2: Convert to fraction form
    79.64/118.56 = 76.52/x
  3. Step 3: Cross multiply
    79.64x = 118.56 × 76.52
  4. Step 4: Simplify right side
    79.64x = 9,072.21
  5. Step 5: Solve for x
    x = 9,072.21/79.64
  6. Step 6: Final answer
    x = 113.92

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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.