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Finding the Fourth Proportional to 278.21, 416.81 and 268.70

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Solution

The fourth proportional to 278.21, 416.81 and 268.70 is: 402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.21 : 416.81 = 268.70 : x
  2. Step 2: Convert to fraction form
    278.21/416.81 = 268.70/x
  3. Step 3: Cross multiply
    278.21x = 416.81 × 268.70
  4. Step 4: Simplify right side
    278.21x = 111,995.43
  5. Step 5: Solve for x
    x = 111,995.43/278.21
  6. Step 6: Final answer
    x = 402.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.