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Finding the Fourth Proportional to 278.54, 382.12 and 272.42

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Solution

The fourth proportional to 278.54, 382.12 and 272.42 is: 373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 382.12 = 272.42 : x
  2. Step 2: Convert to fraction form
    278.54/382.12 = 272.42/x
  3. Step 3: Cross multiply
    278.54x = 382.12 × 272.42
  4. Step 4: Simplify right side
    278.54x = 104,097.13
  5. Step 5: Solve for x
    x = 104,097.13/278.54
  6. Step 6: Final answer
    x = 373.72

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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.