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Finding the Fourth Proportional to 264.98, 396.78 and 219.56

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Solution

The fourth proportional to 264.98, 396.78 and 219.56 is: 328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.98 : 396.78 = 219.56 : x
  2. Step 2: Convert to fraction form
    264.98/396.78 = 219.56/x
  3. Step 3: Cross multiply
    264.98x = 396.78 × 219.56
  4. Step 4: Simplify right side
    264.98x = 87,115.03
  5. Step 5: Solve for x
    x = 87,115.03/264.98
  6. Step 6: Final answer
    x = 328.77

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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.