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Finding the Fourth Proportional to 275.49, 413.28 and 231.75

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Solution

The fourth proportional to 275.49, 413.28 and 231.75 is: 347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.49 : 413.28 = 231.75 : x
  2. Step 2: Convert to fraction form
    275.49/413.28 = 231.75/x
  3. Step 3: Cross multiply
    275.49x = 413.28 × 231.75
  4. Step 4: Simplify right side
    275.49x = 95,777.64
  5. Step 5: Solve for x
    x = 95,777.64/275.49
  6. Step 6: Final answer
    x = 347.66

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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.