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Finding the Fourth Proportional to 275.50, 413.00 and 138.59

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Solution

The fourth proportional to 275.50, 413.00 and 138.59 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.50 : 413.00 = 138.59 : x
  2. Step 2: Convert to fraction form
    275.50/413.00 = 138.59/x
  3. Step 3: Cross multiply
    275.50x = 413.00 × 138.59
  4. Step 4: Simplify right side
    275.50x = 57,234.91
  5. Step 5: Solve for x
    x = 57,234.91/275.50
  6. Step 6: Final answer
    x = 207.75

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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.