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Finding the Fourth Proportional to 269.26, 401.71 and 228.22

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Solution

The fourth proportional to 269.26, 401.71 and 228.22 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 401.71 = 228.22 : x
  2. Step 2: Convert to fraction form
    269.26/401.71 = 228.22/x
  3. Step 3: Cross multiply
    269.26x = 401.71 × 228.22
  4. Step 4: Simplify right side
    269.26x = 91,678.26
  5. Step 5: Solve for x
    x = 91,678.26/269.26
  6. Step 6: Final answer
    x = 340.48

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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.