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Finding the Fourth Proportional to 275.47, 413.28 and 92.95

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Solution

The fourth proportional to 275.47, 413.28 and 92.95 is: 139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.47 : 413.28 = 92.95 : x
  2. Step 2: Convert to fraction form
    275.47/413.28 = 92.95/x
  3. Step 3: Cross multiply
    275.47x = 413.28 × 92.95
  4. Step 4: Simplify right side
    275.47x = 38,414.38
  5. Step 5: Solve for x
    x = 38,414.38/275.47
  6. Step 6: Final answer
    x = 139.45

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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.