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Finding the Fourth Proportional to 169.53, 255.48 and 152.43

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Solution

The fourth proportional to 169.53, 255.48 and 152.43 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.53 : 255.48 = 152.43 : x
  2. Step 2: Convert to fraction form
    169.53/255.48 = 152.43/x
  3. Step 3: Cross multiply
    169.53x = 255.48 × 152.43
  4. Step 4: Simplify right side
    169.53x = 38,942.82
  5. Step 5: Solve for x
    x = 38,942.82/169.53
  6. Step 6: Final answer
    x = 229.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.