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Finding the Fourth Proportional to 278.66, 382.89 and 275.82

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Solution

The fourth proportional to 278.66, 382.89 and 275.82 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.66 : 382.89 = 275.82 : x
  2. Step 2: Convert to fraction form
    278.66/382.89 = 275.82/x
  3. Step 3: Cross multiply
    278.66x = 382.89 × 275.82
  4. Step 4: Simplify right side
    278.66x = 105,608.72
  5. Step 5: Solve for x
    x = 105,608.72/278.66
  6. Step 6: Final answer
    x = 378.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.