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Finding the Fourth Proportional to 269.93, 404.90 and 133.09

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Solution

The fourth proportional to 269.93, 404.90 and 133.09 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.93 : 404.90 = 133.09 : x
  2. Step 2: Convert to fraction form
    269.93/404.90 = 133.09/x
  3. Step 3: Cross multiply
    269.93x = 404.90 × 133.09
  4. Step 4: Simplify right side
    269.93x = 53,888.14
  5. Step 5: Solve for x
    x = 53,888.14/269.93
  6. Step 6: Final answer
    x = 199.64

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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.