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Finding the Fourth Proportional to 274.24, 411.42 and 216.64

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Solution

The fourth proportional to 274.24, 411.42 and 216.64 is: 325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 411.42 = 216.64 : x
  2. Step 2: Convert to fraction form
    274.24/411.42 = 216.64/x
  3. Step 3: Cross multiply
    274.24x = 411.42 × 216.64
  4. Step 4: Simplify right side
    274.24x = 89,130.03
  5. Step 5: Solve for x
    x = 89,130.03/274.24
  6. Step 6: Final answer
    x = 325.01

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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.