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Finding the Fourth Proportional to 233.72, 352.29 and 219.41

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Solution

The fourth proportional to 233.72, 352.29 and 219.41 is: 330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 352.29 = 219.41 : x
  2. Step 2: Convert to fraction form
    233.72/352.29 = 219.41/x
  3. Step 3: Cross multiply
    233.72x = 352.29 × 219.41
  4. Step 4: Simplify right side
    233.72x = 77,294.19
  5. Step 5: Solve for x
    x = 77,294.19/233.72
  6. Step 6: Final answer
    x = 330.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.