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Finding the Fourth Proportional to 278.94, 382.67 and 271.35

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Solution

The fourth proportional to 278.94, 382.67 and 271.35 is: 372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 382.67 = 271.35 : x
  2. Step 2: Convert to fraction form
    278.94/382.67 = 271.35/x
  3. Step 3: Cross multiply
    278.94x = 382.67 × 271.35
  4. Step 4: Simplify right side
    278.94x = 103,836.15
  5. Step 5: Solve for x
    x = 103,836.15/278.94
  6. Step 6: Final answer
    x = 372.25

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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.