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Finding the Fourth Proportional to 278.90, 383.34 and 245.96

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Solution

The fourth proportional to 278.90, 383.34 and 245.96 is: 338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 383.34 = 245.96 : x
  2. Step 2: Convert to fraction form
    278.90/383.34 = 245.96/x
  3. Step 3: Cross multiply
    278.90x = 383.34 × 245.96
  4. Step 4: Simplify right side
    278.90x = 94,286.31
  5. Step 5: Solve for x
    x = 94,286.31/278.90
  6. Step 6: Final answer
    x = 338.06

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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.