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Finding the Fourth Proportional to 275, 413.40 and 254.93

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Solution

The fourth proportional to 275, 413.40 and 254.93 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275 : 413.40 = 254.93 : x
  2. Step 2: Convert to fraction form
    275/413.40 = 254.93/x
  3. Step 3: Cross multiply
    275x = 413.40 × 254.93
  4. Step 4: Simplify right side
    275x = 105,388.06
  5. Step 5: Solve for x
    x = 105,388.06/275
  6. Step 6: Final answer
    x = 383.23

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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.