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Finding the Fourth Proportional to 256.98, 384.87 and 226.22

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Solution

The fourth proportional to 256.98, 384.87 and 226.22 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.98 : 384.87 = 226.22 : x
  2. Step 2: Convert to fraction form
    256.98/384.87 = 226.22/x
  3. Step 3: Cross multiply
    256.98x = 384.87 × 226.22
  4. Step 4: Simplify right side
    256.98x = 87,065.29
  5. Step 5: Solve for x
    x = 87,065.29/256.98
  6. Step 6: Final answer
    x = 338.80

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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.