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Finding the Fourth Proportional to 169.22, 233.61 and 117.38

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Solution

The fourth proportional to 169.22, 233.61 and 117.38 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 233.61 = 117.38 : x
  2. Step 2: Convert to fraction form
    169.22/233.61 = 117.38/x
  3. Step 3: Cross multiply
    169.22x = 233.61 × 117.38
  4. Step 4: Simplify right side
    169.22x = 27,421.14
  5. Step 5: Solve for x
    x = 27,421.14/169.22
  6. Step 6: Final answer
    x = 162.04

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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.