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Finding the Fourth Proportional to 274.71, 378.73 and 224.74

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Solution

The fourth proportional to 274.71, 378.73 and 224.74 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.71 : 378.73 = 224.74 : x
  2. Step 2: Convert to fraction form
    274.71/378.73 = 224.74/x
  3. Step 3: Cross multiply
    274.71x = 378.73 × 224.74
  4. Step 4: Simplify right side
    274.71x = 85,115.78
  5. Step 5: Solve for x
    x = 85,115.78/274.71
  6. Step 6: Final answer
    x = 309.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.