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Finding the Fourth Proportional to 275.82, 413.81 and 113.47

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Solution

The fourth proportional to 275.82, 413.81 and 113.47 is: 170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 413.81 = 113.47 : x
  2. Step 2: Convert to fraction form
    275.82/413.81 = 113.47/x
  3. Step 3: Cross multiply
    275.82x = 413.81 × 113.47
  4. Step 4: Simplify right side
    275.82x = 46,955.02
  5. Step 5: Solve for x
    x = 46,955.02/275.82
  6. Step 6: Final answer
    x = 170.24

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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.