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Finding the Fourth Proportional to 169.56, 234.05 and 111.35

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Solution

The fourth proportional to 169.56, 234.05 and 111.35 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 234.05 = 111.35 : x
  2. Step 2: Convert to fraction form
    169.56/234.05 = 111.35/x
  3. Step 3: Cross multiply
    169.56x = 234.05 × 111.35
  4. Step 4: Simplify right side
    169.56x = 26,061.47
  5. Step 5: Solve for x
    x = 26,061.47/169.56
  6. Step 6: Final answer
    x = 153.70

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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.