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Finding the Fourth Proportional to 169.22, 233.50 and 100.22

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Solution

The fourth proportional to 169.22, 233.50 and 100.22 is: 138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 233.50 = 100.22 : x
  2. Step 2: Convert to fraction form
    169.22/233.50 = 100.22/x
  3. Step 3: Cross multiply
    169.22x = 233.50 × 100.22
  4. Step 4: Simplify right side
    169.22x = 23,401.37
  5. Step 5: Solve for x
    x = 23,401.37/169.22
  6. Step 6: Final answer
    x = 138.29

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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.