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Finding the Fourth Proportional to 278.29, 381.98 and 246.51

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Solution

The fourth proportional to 278.29, 381.98 and 246.51 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 381.98 = 246.51 : x
  2. Step 2: Convert to fraction form
    278.29/381.98 = 246.51/x
  3. Step 3: Cross multiply
    278.29x = 381.98 × 246.51
  4. Step 4: Simplify right side
    278.29x = 94,162.51
  5. Step 5: Solve for x
    x = 94,162.51/278.29
  6. Step 6: Final answer
    x = 338.36

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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.