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Finding the Fourth Proportional to 269.22, 401.91 and 221.16

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Solution

The fourth proportional to 269.22, 401.91 and 221.16 is: 330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.22 : 401.91 = 221.16 : x
  2. Step 2: Convert to fraction form
    269.22/401.91 = 221.16/x
  3. Step 3: Cross multiply
    269.22x = 401.91 × 221.16
  4. Step 4: Simplify right side
    269.22x = 88,886.42
  5. Step 5: Solve for x
    x = 88,886.42/269.22
  6. Step 6: Final answer
    x = 330.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.