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Finding the Fourth Proportional to 281.45, 418.98 and 277.61

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Solution

The fourth proportional to 281.45, 418.98 and 277.61 is: 413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.45 : 418.98 = 277.61 : x
  2. Step 2: Convert to fraction form
    281.45/418.98 = 277.61/x
  3. Step 3: Cross multiply
    281.45x = 418.98 × 277.61
  4. Step 4: Simplify right side
    281.45x = 116,310.94
  5. Step 5: Solve for x
    x = 116,310.94/281.45
  6. Step 6: Final answer
    x = 413.26

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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.