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Finding the Fourth Proportional to 233.25, 321.89 and 140.06

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Solution

The fourth proportional to 233.25, 321.89 and 140.06 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 321.89 = 140.06 : x
  2. Step 2: Convert to fraction form
    233.25/321.89 = 140.06/x
  3. Step 3: Cross multiply
    233.25x = 321.89 × 140.06
  4. Step 4: Simplify right side
    233.25x = 45,083.21
  5. Step 5: Solve for x
    x = 45,083.21/233.25
  6. Step 6: Final answer
    x = 193.28

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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.