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Finding the Fourth Proportional to 264.88, 398.90 and 221.96

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Solution

The fourth proportional to 264.88, 398.90 and 221.96 is: 334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.88 : 398.90 = 221.96 : x
  2. Step 2: Convert to fraction form
    264.88/398.90 = 221.96/x
  3. Step 3: Cross multiply
    264.88x = 398.90 × 221.96
  4. Step 4: Simplify right side
    264.88x = 88,539.84
  5. Step 5: Solve for x
    x = 88,539.84/264.88
  6. Step 6: Final answer
    x = 334.26

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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.