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Finding the Fourth Proportional to 404.33, 605.71 and 230.48

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Solution

The fourth proportional to 404.33, 605.71 and 230.48 is: 345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.33 : 605.71 = 230.48 : x
  2. Step 2: Convert to fraction form
    404.33/605.71 = 230.48/x
  3. Step 3: Cross multiply
    404.33x = 605.71 × 230.48
  4. Step 4: Simplify right side
    404.33x = 139,603.57
  5. Step 5: Solve for x
    x = 139,603.57/404.33
  6. Step 6: Final answer
    x = 345.28

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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.