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Finding the Fourth Proportional to 169.49, 232.67 and 153.09

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Solution

The fourth proportional to 169.49, 232.67 and 153.09 is: 210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 232.67 = 153.09 : x
  2. Step 2: Convert to fraction form
    169.49/232.67 = 153.09/x
  3. Step 3: Cross multiply
    169.49x = 232.67 × 153.09
  4. Step 4: Simplify right side
    169.49x = 35,619.83
  5. Step 5: Solve for x
    x = 35,619.83/169.49
  6. Step 6: Final answer
    x = 210.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.