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Finding the Fourth Proportional to 233.25, 321.89 and 140.00

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Solution

The fourth proportional to 233.25, 321.89 and 140.00 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 321.89 = 140.00 : x
  2. Step 2: Convert to fraction form
    233.25/321.89 = 140.00/x
  3. Step 3: Cross multiply
    233.25x = 321.89 × 140.00
  4. Step 4: Simplify right side
    233.25x = 45,063.34
  5. Step 5: Solve for x
    x = 45,063.34/233.25
  6. Step 6: Final answer
    x = 193.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.