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Finding the Fourth Proportional to 169.28, 232.11 and 152.84

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Solution

The fourth proportional to 169.28, 232.11 and 152.84 is: 209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.28 : 232.11 = 152.84 : x
  2. Step 2: Convert to fraction form
    169.28/232.11 = 152.84/x
  3. Step 3: Cross multiply
    169.28x = 232.11 × 152.84
  4. Step 4: Simplify right side
    169.28x = 35,475.69
  5. Step 5: Solve for x
    x = 35,475.69/169.28
  6. Step 6: Final answer
    x = 209.57

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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.