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Finding the Fourth Proportional to 169.21, 233.08 and 132.36

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Solution

The fourth proportional to 169.21, 233.08 and 132.36 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.21 : 233.08 = 132.36 : x
  2. Step 2: Convert to fraction form
    169.21/233.08 = 132.36/x
  3. Step 3: Cross multiply
    169.21x = 233.08 × 132.36
  4. Step 4: Simplify right side
    169.21x = 30,850.47
  5. Step 5: Solve for x
    x = 30,850.47/169.21
  6. Step 6: Final answer
    x = 182.32

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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.