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Finding the Fourth Proportional to 79.76, 119.02 and 79.16

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Solution

The fourth proportional to 79.76, 119.02 and 79.16 is: 118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 119.02 = 79.16 : x
  2. Step 2: Convert to fraction form
    79.76/119.02 = 79.16/x
  3. Step 3: Cross multiply
    79.76x = 119.02 × 79.16
  4. Step 4: Simplify right side
    79.76x = 9,421.62
  5. Step 5: Solve for x
    x = 9,421.62/79.76
  6. Step 6: Final answer
    x = 118.12

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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.