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Finding the Fourth Proportional to 275.44, 382.70 and 272

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Solution

The fourth proportional to 275.44, 382.70 and 272 is: 377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 382.70 = 272 : x
  2. Step 2: Convert to fraction form
    275.44/382.70 = 272/x
  3. Step 3: Cross multiply
    275.44x = 382.70 × 272
  4. Step 4: Simplify right side
    275.44x = 104,094.40
  5. Step 5: Solve for x
    x = 104,094.40/275.44
  6. Step 6: Final answer
    x = 377.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.