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Finding the Fourth Proportional to 299.88, 413.56 and 217.53

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Solution

The fourth proportional to 299.88, 413.56 and 217.53 is: 299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 413.56 = 217.53 : x
  2. Step 2: Convert to fraction form
    299.88/413.56 = 217.53/x
  3. Step 3: Cross multiply
    299.88x = 413.56 × 217.53
  4. Step 4: Simplify right side
    299.88x = 89,961.71
  5. Step 5: Solve for x
    x = 89,961.71/299.88
  6. Step 6: Final answer
    x = 299.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.