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Finding the Fourth Proportional to 169.20, 232.75 and 162.54

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Solution

The fourth proportional to 169.20, 232.75 and 162.54 is: 223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 232.75 = 162.54 : x
  2. Step 2: Convert to fraction form
    169.20/232.75 = 162.54/x
  3. Step 3: Cross multiply
    169.20x = 232.75 × 162.54
  4. Step 4: Simplify right side
    169.20x = 37,831.19
  5. Step 5: Solve for x
    x = 37,831.19/169.20
  6. Step 6: Final answer
    x = 223.59

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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.