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Finding the Fourth Proportional to 243.26, 333.90 and 216.44

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Solution

The fourth proportional to 243.26, 333.90 and 216.44 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.26 : 333.90 = 216.44 : x
  2. Step 2: Convert to fraction form
    243.26/333.90 = 216.44/x
  3. Step 3: Cross multiply
    243.26x = 333.90 × 216.44
  4. Step 4: Simplify right side
    243.26x = 72,268.23
  5. Step 5: Solve for x
    x = 72,268.23/243.26
  6. Step 6: Final answer
    x = 297.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.