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Finding the Fourth Proportional to 299.40, 413.12 and 181.35

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Solution

The fourth proportional to 299.40, 413.12 and 181.35 is: 250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 413.12 = 181.35 : x
  2. Step 2: Convert to fraction form
    299.40/413.12 = 181.35/x
  3. Step 3: Cross multiply
    299.40x = 413.12 × 181.35
  4. Step 4: Simplify right side
    299.40x = 74,918.41
  5. Step 5: Solve for x
    x = 74,918.41/299.40
  6. Step 6: Final answer
    x = 250.23

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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.