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Finding the Fourth Proportional to 275.02, 413.96 and 248.50

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Solution

The fourth proportional to 275.02, 413.96 and 248.50 is: 374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 413.96 = 248.50 : x
  2. Step 2: Convert to fraction form
    275.02/413.96 = 248.50/x
  3. Step 3: Cross multiply
    275.02x = 413.96 × 248.50
  4. Step 4: Simplify right side
    275.02x = 102,869.06
  5. Step 5: Solve for x
    x = 102,869.06/275.02
  6. Step 6: Final answer
    x = 374.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.