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Finding the Fourth Proportional to 275.95, 413.50 and 250.15

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Solution

The fourth proportional to 275.95, 413.50 and 250.15 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.95 : 413.50 = 250.15 : x
  2. Step 2: Convert to fraction form
    275.95/413.50 = 250.15/x
  3. Step 3: Cross multiply
    275.95x = 413.50 × 250.15
  4. Step 4: Simplify right side
    275.95x = 103,437.03
  5. Step 5: Solve for x
    x = 103,437.03/275.95
  6. Step 6: Final answer
    x = 374.84

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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.