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Finding the Fourth Proportional to 223.44, 333.21 and 211.20

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Solution

The fourth proportional to 223.44, 333.21 and 211.20 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 333.21 = 211.20 : x
  2. Step 2: Convert to fraction form
    223.44/333.21 = 211.20/x
  3. Step 3: Cross multiply
    223.44x = 333.21 × 211.20
  4. Step 4: Simplify right side
    223.44x = 70,373.95
  5. Step 5: Solve for x
    x = 70,373.95/223.44
  6. Step 6: Final answer
    x = 314.96

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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.