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Finding the Fourth Proportional to 294.39, 440.81 and 216.48

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Solution

The fourth proportional to 294.39, 440.81 and 216.48 is: 324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.39 : 440.81 = 216.48 : x
  2. Step 2: Convert to fraction form
    294.39/440.81 = 216.48/x
  3. Step 3: Cross multiply
    294.39x = 440.81 × 216.48
  4. Step 4: Simplify right side
    294.39x = 95,425.47
  5. Step 5: Solve for x
    x = 95,425.47/294.39
  6. Step 6: Final answer
    x = 324.15

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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.