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Finding the Fourth Proportional to 99.69, 137.46 and 77.22

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Solution

The fourth proportional to 99.69, 137.46 and 77.22 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.69 : 137.46 = 77.22 : x
  2. Step 2: Convert to fraction form
    99.69/137.46 = 77.22/x
  3. Step 3: Cross multiply
    99.69x = 137.46 × 77.22
  4. Step 4: Simplify right side
    99.69x = 10,614.66
  5. Step 5: Solve for x
    x = 10,614.66/99.69
  6. Step 6: Final answer
    x = 106.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.