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Finding the Fourth Proportional to 223.16, 308.22 and 211.70

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Solution

The fourth proportional to 223.16, 308.22 and 211.70 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 308.22 = 211.70 : x
  2. Step 2: Convert to fraction form
    223.16/308.22 = 211.70/x
  3. Step 3: Cross multiply
    223.16x = 308.22 × 211.70
  4. Step 4: Simplify right side
    223.16x = 65,250.17
  5. Step 5: Solve for x
    x = 65,250.17/223.16
  6. Step 6: Final answer
    x = 292.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.