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Finding the Fourth Proportional to 233.36, 321.49 and 159.55

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Solution

The fourth proportional to 233.36, 321.49 and 159.55 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.36 : 321.49 = 159.55 : x
  2. Step 2: Convert to fraction form
    233.36/321.49 = 159.55/x
  3. Step 3: Cross multiply
    233.36x = 321.49 × 159.55
  4. Step 4: Simplify right side
    233.36x = 51,293.73
  5. Step 5: Solve for x
    x = 51,293.73/233.36
  6. Step 6: Final answer
    x = 219.81

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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.