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Finding the Fourth Proportional to 79.49, 118.34 and 76.35

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Solution

The fourth proportional to 79.49, 118.34 and 76.35 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.49 : 118.34 = 76.35 : x
  2. Step 2: Convert to fraction form
    79.49/118.34 = 76.35/x
  3. Step 3: Cross multiply
    79.49x = 118.34 × 76.35
  4. Step 4: Simplify right side
    79.49x = 9,035.26
  5. Step 5: Solve for x
    x = 9,035.26/79.49
  6. Step 6: Final answer
    x = 113.67

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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.