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Finding the Fourth Proportional to 169.14, 233.46 and 99.21

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Solution

The fourth proportional to 169.14, 233.46 and 99.21 is: 136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.14 : 233.46 = 99.21 : x
  2. Step 2: Convert to fraction form
    169.14/233.46 = 99.21/x
  3. Step 3: Cross multiply
    169.14x = 233.46 × 99.21
  4. Step 4: Simplify right side
    169.14x = 23,161.57
  5. Step 5: Solve for x
    x = 23,161.57/169.14
  6. Step 6: Final answer
    x = 136.94

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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.