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Finding the Fourth Proportional to 275.96, 413.96 and 230.64

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Solution

The fourth proportional to 275.96, 413.96 and 230.64 is: 345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.96 : 413.96 = 230.64 : x
  2. Step 2: Convert to fraction form
    275.96/413.96 = 230.64/x
  3. Step 3: Cross multiply
    275.96x = 413.96 × 230.64
  4. Step 4: Simplify right side
    275.96x = 95,475.73
  5. Step 5: Solve for x
    x = 95,475.73/275.96
  6. Step 6: Final answer
    x = 345.98

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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.