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Finding the Fourth Proportional to 274.90, 380.02 and 220.18

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Solution

The fourth proportional to 274.90, 380.02 and 220.18 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.90 : 380.02 = 220.18 : x
  2. Step 2: Convert to fraction form
    274.90/380.02 = 220.18/x
  3. Step 3: Cross multiply
    274.90x = 380.02 × 220.18
  4. Step 4: Simplify right side
    274.90x = 83,672.80
  5. Step 5: Solve for x
    x = 83,672.80/274.90
  6. Step 6: Final answer
    x = 304.38

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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.