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Finding the Fourth Proportional to 224.12, 310.70 and 219.66

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Solution

The fourth proportional to 224.12, 310.70 and 219.66 is: 304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 310.70 = 219.66 : x
  2. Step 2: Convert to fraction form
    224.12/310.70 = 219.66/x
  3. Step 3: Cross multiply
    224.12x = 310.70 × 219.66
  4. Step 4: Simplify right side
    224.12x = 68,248.36
  5. Step 5: Solve for x
    x = 68,248.36/224.12
  6. Step 6: Final answer
    x = 304.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.