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Finding the Fourth Proportional to 233.50, 348.14 and 219.73

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Solution

The fourth proportional to 233.50, 348.14 and 219.73 is: 327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 348.14 = 219.73 : x
  2. Step 2: Convert to fraction form
    233.50/348.14 = 219.73/x
  3. Step 3: Cross multiply
    233.50x = 348.14 × 219.73
  4. Step 4: Simplify right side
    233.50x = 76,496.80
  5. Step 5: Solve for x
    x = 76,496.80/233.50
  6. Step 6: Final answer
    x = 327.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.