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Finding the Fourth Proportional to 404.38, 605.66 and 187.50

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Solution

The fourth proportional to 404.38, 605.66 and 187.50 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.38 : 605.66 = 187.50 : x
  2. Step 2: Convert to fraction form
    404.38/605.66 = 187.50/x
  3. Step 3: Cross multiply
    404.38x = 605.66 × 187.50
  4. Step 4: Simplify right side
    404.38x = 113,560.31
  5. Step 5: Solve for x
    x = 113,560.31/404.38
  6. Step 6: Final answer
    x = 280.83

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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.