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Finding the Fourth Proportional to 269.39, 403.58 and 228.26

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Solution

The fourth proportional to 269.39, 403.58 and 228.26 is: 341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.39 : 403.58 = 228.26 : x
  2. Step 2: Convert to fraction form
    269.39/403.58 = 228.26/x
  3. Step 3: Cross multiply
    269.39x = 403.58 × 228.26
  4. Step 4: Simplify right side
    269.39x = 92,118.01
  5. Step 5: Solve for x
    x = 92,118.01/269.39
  6. Step 6: Final answer
    x = 341.96

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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.