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Finding the Fourth Proportional to 299.90, 413.91 and 180.25

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Solution

The fourth proportional to 299.90, 413.91 and 180.25 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 413.91 = 180.25 : x
  2. Step 2: Convert to fraction form
    299.90/413.91 = 180.25/x
  3. Step 3: Cross multiply
    299.90x = 413.91 × 180.25
  4. Step 4: Simplify right side
    299.90x = 74,606.24
  5. Step 5: Solve for x
    x = 74,606.24/299.90
  6. Step 6: Final answer
    x = 248.77

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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.