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Finding the Fourth Proportional to 278.04, 385.25 and 273.18

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Solution

The fourth proportional to 278.04, 385.25 and 273.18 is: 378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 385.25 = 273.18 : x
  2. Step 2: Convert to fraction form
    278.04/385.25 = 273.18/x
  3. Step 3: Cross multiply
    278.04x = 385.25 × 273.18
  4. Step 4: Simplify right side
    278.04x = 105,241.23
  5. Step 5: Solve for x
    x = 105,241.23/278.04
  6. Step 6: Final answer
    x = 378.51

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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.