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Finding the Fourth Proportional to 223.62, 333.56 and 213.90

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Solution

The fourth proportional to 223.62, 333.56 and 213.90 is: 319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 333.56 = 213.90 : x
  2. Step 2: Convert to fraction form
    223.62/333.56 = 213.90/x
  3. Step 3: Cross multiply
    223.62x = 333.56 × 213.90
  4. Step 4: Simplify right side
    223.62x = 71,347.41
  5. Step 5: Solve for x
    x = 71,347.41/223.62
  6. Step 6: Final answer
    x = 319.06

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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.