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Finding the Fourth Proportional to 275.57, 413.08 and 172.93

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Solution

The fourth proportional to 275.57, 413.08 and 172.93 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.57 : 413.08 = 172.93 : x
  2. Step 2: Convert to fraction form
    275.57/413.08 = 172.93/x
  3. Step 3: Cross multiply
    275.57x = 413.08 × 172.93
  4. Step 4: Simplify right side
    275.57x = 71,433.92
  5. Step 5: Solve for x
    x = 71,433.92/275.57
  6. Step 6: Final answer
    x = 259.22

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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.