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Finding the Fourth Proportional to 169.20, 233.40 and 138.14

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Solution

The fourth proportional to 169.20, 233.40 and 138.14 is: 190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 233.40 = 138.14 : x
  2. Step 2: Convert to fraction form
    169.20/233.40 = 138.14/x
  3. Step 3: Cross multiply
    169.20x = 233.40 × 138.14
  4. Step 4: Simplify right side
    169.20x = 32,241.88
  5. Step 5: Solve for x
    x = 32,241.88/169.20
  6. Step 6: Final answer
    x = 190.55

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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.