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Finding the Fourth Proportional to 400.09, 599.83 and 269.77

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Solution

The fourth proportional to 400.09, 599.83 and 269.77 is: 404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.09 : 599.83 = 269.77 : x
  2. Step 2: Convert to fraction form
    400.09/599.83 = 269.77/x
  3. Step 3: Cross multiply
    400.09x = 599.83 × 269.77
  4. Step 4: Simplify right side
    400.09x = 161,813.14
  5. Step 5: Solve for x
    x = 161,813.14/400.09
  6. Step 6: Final answer
    x = 404.45

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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.