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Finding the Fourth Proportional to 299.57, 413.14 and 188.86

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Solution

The fourth proportional to 299.57, 413.14 and 188.86 is: 260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 413.14 = 188.86 : x
  2. Step 2: Convert to fraction form
    299.57/413.14 = 188.86/x
  3. Step 3: Cross multiply
    299.57x = 413.14 × 188.86
  4. Step 4: Simplify right side
    299.57x = 78,023.82
  5. Step 5: Solve for x
    x = 78,023.82/299.57
  6. Step 6: Final answer
    x = 260.45

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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.