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Finding the Fourth Proportional to 404.14, 605.16 and 281.86

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Solution

The fourth proportional to 404.14, 605.16 and 281.86 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 605.16 = 281.86 : x
  2. Step 2: Convert to fraction form
    404.14/605.16 = 281.86/x
  3. Step 3: Cross multiply
    404.14x = 605.16 × 281.86
  4. Step 4: Simplify right side
    404.14x = 170,570.40
  5. Step 5: Solve for x
    x = 170,570.40/404.14
  6. Step 6: Final answer
    x = 422.06

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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.