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Finding the Fourth Proportional to 169.39, 233.66 and 116.84

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Solution

The fourth proportional to 169.39, 233.66 and 116.84 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 233.66 = 116.84 : x
  2. Step 2: Convert to fraction form
    169.39/233.66 = 116.84/x
  3. Step 3: Cross multiply
    169.39x = 233.66 × 116.84
  4. Step 4: Simplify right side
    169.39x = 27,301.38
  5. Step 5: Solve for x
    x = 27,301.38/169.39
  6. Step 6: Final answer
    x = 161.17

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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.