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Finding the Fourth Proportional to 275.90, 413.78 and 113.58

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Solution

The fourth proportional to 275.90, 413.78 and 113.58 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 413.78 = 113.58 : x
  2. Step 2: Convert to fraction form
    275.90/413.78 = 113.58/x
  3. Step 3: Cross multiply
    275.90x = 413.78 × 113.58
  4. Step 4: Simplify right side
    275.90x = 46,996.56
  5. Step 5: Solve for x
    x = 46,996.56/275.90
  6. Step 6: Final answer
    x = 170.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.