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Finding the Fourth Proportional to 169.56, 233.85 and 130.23

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Solution

The fourth proportional to 169.56, 233.85 and 130.23 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 233.85 = 130.23 : x
  2. Step 2: Convert to fraction form
    169.56/233.85 = 130.23/x
  3. Step 3: Cross multiply
    169.56x = 233.85 × 130.23
  4. Step 4: Simplify right side
    169.56x = 30,454.29
  5. Step 5: Solve for x
    x = 30,454.29/169.56
  6. Step 6: Final answer
    x = 179.61

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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.