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Finding the Fourth Proportional to 275.93, 413.96 and 100.19

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Solution

The fourth proportional to 275.93, 413.96 and 100.19 is: 150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.93 : 413.96 = 100.19 : x
  2. Step 2: Convert to fraction form
    275.93/413.96 = 100.19/x
  3. Step 3: Cross multiply
    275.93x = 413.96 × 100.19
  4. Step 4: Simplify right side
    275.93x = 41,474.15
  5. Step 5: Solve for x
    x = 41,474.15/275.93
  6. Step 6: Final answer
    x = 150.31

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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.