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Finding the Fourth Proportional to 275.49, 379.78 and 242.44

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Solution

The fourth proportional to 275.49, 379.78 and 242.44 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 379.78 = 242.44 : x
  2. Step 2: Convert to fraction form
    275.49/379.78 = 242.44/x
  3. Step 3: Cross multiply
    275.49x = 379.78 × 242.44
  4. Step 4: Simplify right side
    275.49x = 92,070.75
  5. Step 5: Solve for x
    x = 92,070.75/275.49
  6. Step 6: Final answer
    x = 334.21

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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.