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Finding the Fourth Proportional to 278.04, 381.64 and 246.26

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Solution

The fourth proportional to 278.04, 381.64 and 246.26 is: 338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 381.64 = 246.26 : x
  2. Step 2: Convert to fraction form
    278.04/381.64 = 246.26/x
  3. Step 3: Cross multiply
    278.04x = 381.64 × 246.26
  4. Step 4: Simplify right side
    278.04x = 93,982.67
  5. Step 5: Solve for x
    x = 93,982.67/278.04
  6. Step 6: Final answer
    x = 338.02

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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.