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Finding the Fourth Proportional to 169.65, 234.36 and 133.27

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Solution

The fourth proportional to 169.65, 234.36 and 133.27 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 234.36 = 133.27 : x
  2. Step 2: Convert to fraction form
    169.65/234.36 = 133.27/x
  3. Step 3: Cross multiply
    169.65x = 234.36 × 133.27
  4. Step 4: Simplify right side
    169.65x = 31,232.57
  5. Step 5: Solve for x
    x = 31,232.57/169.65
  6. Step 6: Final answer
    x = 184.10

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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.