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Finding the Fourth Proportional to 274.42, 379.10 and 219.09

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Solution

The fourth proportional to 274.42, 379.10 and 219.09 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 379.10 = 219.09 : x
  2. Step 2: Convert to fraction form
    274.42/379.10 = 219.09/x
  3. Step 3: Cross multiply
    274.42x = 379.10 × 219.09
  4. Step 4: Simplify right side
    274.42x = 83,057.02
  5. Step 5: Solve for x
    x = 83,057.02/274.42
  6. Step 6: Final answer
    x = 302.66

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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.