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Finding the Fourth Proportional to 223.99, 334.13 and 221.02

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Solution

The fourth proportional to 223.99, 334.13 and 221.02 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.99 : 334.13 = 221.02 : x
  2. Step 2: Convert to fraction form
    223.99/334.13 = 221.02/x
  3. Step 3: Cross multiply
    223.99x = 334.13 × 221.02
  4. Step 4: Simplify right side
    223.99x = 73,849.41
  5. Step 5: Solve for x
    x = 73,849.41/223.99
  6. Step 6: Final answer
    x = 329.70

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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.