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Finding the Fourth Proportional to 293.49, 440.56 and 216.22

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Solution

The fourth proportional to 293.49, 440.56 and 216.22 is: 324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 440.56 = 216.22 : x
  2. Step 2: Convert to fraction form
    293.49/440.56 = 216.22/x
  3. Step 3: Cross multiply
    293.49x = 440.56 × 216.22
  4. Step 4: Simplify right side
    293.49x = 95,257.05
  5. Step 5: Solve for x
    x = 95,257.05/293.49
  6. Step 6: Final answer
    x = 324.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.