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Finding the Fourth Proportional to 299.63, 413.45 and 171.87

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Solution

The fourth proportional to 299.63, 413.45 and 171.87 is: 237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.63 : 413.45 = 171.87 : x
  2. Step 2: Convert to fraction form
    299.63/413.45 = 171.87/x
  3. Step 3: Cross multiply
    299.63x = 413.45 × 171.87
  4. Step 4: Simplify right side
    299.63x = 71,059.65
  5. Step 5: Solve for x
    x = 71,059.65/299.63
  6. Step 6: Final answer
    x = 237.16

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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.