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Finding the Fourth Proportional to 169.17, 234.52 and 159.93

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Solution

The fourth proportional to 169.17, 234.52 and 159.93 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.17 : 234.52 = 159.93 : x
  2. Step 2: Convert to fraction form
    169.17/234.52 = 159.93/x
  3. Step 3: Cross multiply
    169.17x = 234.52 × 159.93
  4. Step 4: Simplify right side
    169.17x = 37,504.81
  5. Step 5: Solve for x
    x = 37,504.81/169.17
  6. Step 6: Final answer
    x = 221.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.