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Finding the Fourth Proportional to 275.34, 382.67 and 272.46

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Solution

The fourth proportional to 275.34, 382.67 and 272.46 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 382.67 = 272.46 : x
  2. Step 2: Convert to fraction form
    275.34/382.67 = 272.46/x
  3. Step 3: Cross multiply
    275.34x = 382.67 × 272.46
  4. Step 4: Simplify right side
    275.34x = 104,260.91
  5. Step 5: Solve for x
    x = 104,260.91/275.34
  6. Step 6: Final answer
    x = 378.66

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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.