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Finding the Fourth Proportional to 274.64, 379.14 and 200.94

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Solution

The fourth proportional to 274.64, 379.14 and 200.94 is: 277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 379.14 = 200.94 : x
  2. Step 2: Convert to fraction form
    274.64/379.14 = 200.94/x
  3. Step 3: Cross multiply
    274.64x = 379.14 × 200.94
  4. Step 4: Simplify right side
    274.64x = 76,184.39
  5. Step 5: Solve for x
    x = 76,184.39/274.64
  6. Step 6: Final answer
    x = 277.40

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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.