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Finding the Fourth Proportional to 275.70, 413.98 and 237.61

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Solution

The fourth proportional to 275.70, 413.98 and 237.61 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 413.98 = 237.61 : x
  2. Step 2: Convert to fraction form
    275.70/413.98 = 237.61/x
  3. Step 3: Cross multiply
    275.70x = 413.98 × 237.61
  4. Step 4: Simplify right side
    275.70x = 98,365.79
  5. Step 5: Solve for x
    x = 98,365.79/275.70
  6. Step 6: Final answer
    x = 356.79

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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.