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Finding the Fourth Proportional to 283.33, 419.98 and 278.97

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Solution

The fourth proportional to 283.33, 419.98 and 278.97 is: 413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.33 : 419.98 = 278.97 : x
  2. Step 2: Convert to fraction form
    283.33/419.98 = 278.97/x
  3. Step 3: Cross multiply
    283.33x = 419.98 × 278.97
  4. Step 4: Simplify right side
    283.33x = 117,161.82
  5. Step 5: Solve for x
    x = 117,161.82/283.33
  6. Step 6: Final answer
    x = 413.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.