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Finding the Fourth Proportional to 169.19, 233.50 and 99.22

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Solution

The fourth proportional to 169.19, 233.50 and 99.22 is: 136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.19 : 233.50 = 99.22 : x
  2. Step 2: Convert to fraction form
    169.19/233.50 = 99.22/x
  3. Step 3: Cross multiply
    169.19x = 233.50 × 99.22
  4. Step 4: Simplify right side
    169.19x = 23,167.87
  5. Step 5: Solve for x
    x = 23,167.87/169.19
  6. Step 6: Final answer
    x = 136.93

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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.