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Finding the Fourth Proportional to 169.56, 255.39 and 154.98

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Solution

The fourth proportional to 169.56, 255.39 and 154.98 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 255.39 = 154.98 : x
  2. Step 2: Convert to fraction form
    169.56/255.39 = 154.98/x
  3. Step 3: Cross multiply
    169.56x = 255.39 × 154.98
  4. Step 4: Simplify right side
    169.56x = 39,580.34
  5. Step 5: Solve for x
    x = 39,580.34/169.56
  6. Step 6: Final answer
    x = 233.43

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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.