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Finding the Fourth Proportional to 243.68, 363.96 and 221.00

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Solution

The fourth proportional to 243.68, 363.96 and 221.00 is: 330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 363.96 = 221.00 : x
  2. Step 2: Convert to fraction form
    243.68/363.96 = 221.00/x
  3. Step 3: Cross multiply
    243.68x = 363.96 × 221.00
  4. Step 4: Simplify right side
    243.68x = 80,433.34
  5. Step 5: Solve for x
    x = 80,433.34/243.68
  6. Step 6: Final answer
    x = 330.08

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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.