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Finding the Fourth Proportional to 243.69, 363.30 and 216.15

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Solution

The fourth proportional to 243.69, 363.30 and 216.15 is: 322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.69 : 363.30 = 216.15 : x
  2. Step 2: Convert to fraction form
    243.69/363.30 = 216.15/x
  3. Step 3: Cross multiply
    243.69x = 363.30 × 216.15
  4. Step 4: Simplify right side
    243.69x = 78,527.30
  5. Step 5: Solve for x
    x = 78,527.30/243.69
  6. Step 6: Final answer
    x = 322.24

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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.