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Finding the Fourth Proportional to 274.21, 411.64 and 216.47

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Solution

The fourth proportional to 274.21, 411.64 and 216.47 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.21 : 411.64 = 216.47 : x
  2. Step 2: Convert to fraction form
    274.21/411.64 = 216.47/x
  3. Step 3: Cross multiply
    274.21x = 411.64 × 216.47
  4. Step 4: Simplify right side
    274.21x = 89,109.78
  5. Step 5: Solve for x
    x = 89,109.78/274.21
  6. Step 6: Final answer
    x = 324.97

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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.