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Finding the Fourth Proportional to 233.38, 321.86 and 140.09

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Solution

The fourth proportional to 233.38, 321.86 and 140.09 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 321.86 = 140.09 : x
  2. Step 2: Convert to fraction form
    233.38/321.86 = 140.09/x
  3. Step 3: Cross multiply
    233.38x = 321.86 × 140.09
  4. Step 4: Simplify right side
    233.38x = 45,090.17
  5. Step 5: Solve for x
    x = 45,090.17/233.38
  6. Step 6: Final answer
    x = 193.20

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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.