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Finding the Fourth Proportional to 233.74, 322.13 and 168.13

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Solution

The fourth proportional to 233.74, 322.13 and 168.13 is: 231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 322.13 = 168.13 : x
  2. Step 2: Convert to fraction form
    233.74/322.13 = 168.13/x
  3. Step 3: Cross multiply
    233.74x = 322.13 × 168.13
  4. Step 4: Simplify right side
    233.74x = 54,157.78
  5. Step 5: Solve for x
    x = 54,157.78/233.74
  6. Step 6: Final answer
    x = 231.71

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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.