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Finding the Fourth Proportional to 274.50, 379.28 and 212.87

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Solution

The fourth proportional to 274.50, 379.28 and 212.87 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 379.28 = 212.87 : x
  2. Step 2: Convert to fraction form
    274.50/379.28 = 212.87/x
  3. Step 3: Cross multiply
    274.50x = 379.28 × 212.87
  4. Step 4: Simplify right side
    274.50x = 80,738.81
  5. Step 5: Solve for x
    x = 80,738.81/274.50
  6. Step 6: Final answer
    x = 294.13

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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.