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Finding the Fourth Proportional to 119.23, 163.84 and 99.79

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Solution

The fourth proportional to 119.23, 163.84 and 99.79 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.23 : 163.84 = 99.79 : x
  2. Step 2: Convert to fraction form
    119.23/163.84 = 99.79/x
  3. Step 3: Cross multiply
    119.23x = 163.84 × 99.79
  4. Step 4: Simplify right side
    119.23x = 16,349.59
  5. Step 5: Solve for x
    x = 16,349.59/119.23
  6. Step 6: Final answer
    x = 137.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.