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Finding the Fourth Proportional to 169.76, 233.94 and 162.68

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Solution

The fourth proportional to 169.76, 233.94 and 162.68 is: 224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 233.94 = 162.68 : x
  2. Step 2: Convert to fraction form
    169.76/233.94 = 162.68/x
  3. Step 3: Cross multiply
    169.76x = 233.94 × 162.68
  4. Step 4: Simplify right side
    169.76x = 38,057.36
  5. Step 5: Solve for x
    x = 38,057.36/169.76
  6. Step 6: Final answer
    x = 224.18

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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.