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Finding the Fourth Proportional to 233.47, 322.17 and 168.08

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Solution

The fourth proportional to 233.47, 322.17 and 168.08 is: 231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 322.17 = 168.08 : x
  2. Step 2: Convert to fraction form
    233.47/322.17 = 168.08/x
  3. Step 3: Cross multiply
    233.47x = 322.17 × 168.08
  4. Step 4: Simplify right side
    233.47x = 54,151.14
  5. Step 5: Solve for x
    x = 54,151.14/233.47
  6. Step 6: Final answer
    x = 231.94

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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.