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Finding the Fourth Proportional to 277.42, 413.98 and 248.21

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Solution

The fourth proportional to 277.42, 413.98 and 248.21 is: 370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 413.98 = 248.21 : x
  2. Step 2: Convert to fraction form
    277.42/413.98 = 248.21/x
  3. Step 3: Cross multiply
    277.42x = 413.98 × 248.21
  4. Step 4: Simplify right side
    277.42x = 102,754.39
  5. Step 5: Solve for x
    x = 102,754.39/277.42
  6. Step 6: Final answer
    x = 370.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.