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Finding the Fourth Proportional to 269.12, 401.38 and 244.64

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Solution

The fourth proportional to 269.12, 401.38 and 244.64 is: 364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 401.38 = 244.64 : x
  2. Step 2: Convert to fraction form
    269.12/401.38 = 244.64/x
  3. Step 3: Cross multiply
    269.12x = 401.38 × 244.64
  4. Step 4: Simplify right side
    269.12x = 98,193.60
  5. Step 5: Solve for x
    x = 98,193.60/269.12
  6. Step 6: Final answer
    x = 364.87

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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.