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Finding the Fourth Proportional to 224.88, 339.12 and 211.44

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Solution

The fourth proportional to 224.88, 339.12 and 211.44 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.88 : 339.12 = 211.44 : x
  2. Step 2: Convert to fraction form
    224.88/339.12 = 211.44/x
  3. Step 3: Cross multiply
    224.88x = 339.12 × 211.44
  4. Step 4: Simplify right side
    224.88x = 71,703.53
  5. Step 5: Solve for x
    x = 71,703.53/224.88
  6. Step 6: Final answer
    x = 318.85

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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.