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Finding the Fourth Proportional to 275.92, 413.22 and 203.92

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Solution

The fourth proportional to 275.92, 413.22 and 203.92 is: 305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 413.22 = 203.92 : x
  2. Step 2: Convert to fraction form
    275.92/413.22 = 203.92/x
  3. Step 3: Cross multiply
    275.92x = 413.22 × 203.92
  4. Step 4: Simplify right side
    275.92x = 84,263.82
  5. Step 5: Solve for x
    x = 84,263.82/275.92
  6. Step 6: Final answer
    x = 305.39

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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.