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Finding the Fourth Proportional to 273.12, 378.66 and 264.12

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Solution

The fourth proportional to 273.12, 378.66 and 264.12 is: 366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 378.66 = 264.12 : x
  2. Step 2: Convert to fraction form
    273.12/378.66 = 264.12/x
  3. Step 3: Cross multiply
    273.12x = 378.66 × 264.12
  4. Step 4: Simplify right side
    273.12x = 100,011.68
  5. Step 5: Solve for x
    x = 100,011.68/273.12
  6. Step 6: Final answer
    x = 366.18

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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.