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Finding the Fourth Proportional to 278.49, 384.16 and 226.09

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Solution

The fourth proportional to 278.49, 384.16 and 226.09 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 384.16 = 226.09 : x
  2. Step 2: Convert to fraction form
    278.49/384.16 = 226.09/x
  3. Step 3: Cross multiply
    278.49x = 384.16 × 226.09
  4. Step 4: Simplify right side
    278.49x = 86,852.81
  5. Step 5: Solve for x
    x = 86,852.81/278.49
  6. Step 6: Final answer
    x = 311.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.