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Finding the Fourth Proportional to 233.10, 348.09 and 219.60

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Solution

The fourth proportional to 233.10, 348.09 and 219.60 is: 327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.09 = 219.60 : x
  2. Step 2: Convert to fraction form
    233.10/348.09 = 219.60/x
  3. Step 3: Cross multiply
    233.10x = 348.09 × 219.60
  4. Step 4: Simplify right side
    233.10x = 76,440.56
  5. Step 5: Solve for x
    x = 76,440.56/233.10
  6. Step 6: Final answer
    x = 327.93

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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.