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Finding the Fourth Proportional to 243.32, 366.44 and 213.24

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Solution

The fourth proportional to 243.32, 366.44 and 213.24 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.32 : 366.44 = 213.24 : x
  2. Step 2: Convert to fraction form
    243.32/366.44 = 213.24/x
  3. Step 3: Cross multiply
    243.32x = 366.44 × 213.24
  4. Step 4: Simplify right side
    243.32x = 78,138.60
  5. Step 5: Solve for x
    x = 78,138.60/243.32
  6. Step 6: Final answer
    x = 321.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.