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Finding the Fourth Proportional to 79.49, 119.66 and 72.05

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Solution

The fourth proportional to 79.49, 119.66 and 72.05 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.49 : 119.66 = 72.05 : x
  2. Step 2: Convert to fraction form
    79.49/119.66 = 72.05/x
  3. Step 3: Cross multiply
    79.49x = 119.66 × 72.05
  4. Step 4: Simplify right side
    79.49x = 8,621.50
  5. Step 5: Solve for x
    x = 8,621.50/79.49
  6. Step 6: Final answer
    x = 108.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.