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Finding the Fourth Proportional to 264.19, 398.07 and 219.54

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Solution

The fourth proportional to 264.19, 398.07 and 219.54 is: 330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.19 : 398.07 = 219.54 : x
  2. Step 2: Convert to fraction form
    264.19/398.07 = 219.54/x
  3. Step 3: Cross multiply
    264.19x = 398.07 × 219.54
  4. Step 4: Simplify right side
    264.19x = 87,392.29
  5. Step 5: Solve for x
    x = 87,392.29/264.19
  6. Step 6: Final answer
    x = 330.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.