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Finding the Fourth Proportional to 277.50, 382.91 and 163.97

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Solution

The fourth proportional to 277.50, 382.91 and 163.97 is: 226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 382.91 = 163.97 : x
  2. Step 2: Convert to fraction form
    277.50/382.91 = 163.97/x
  3. Step 3: Cross multiply
    277.50x = 382.91 × 163.97
  4. Step 4: Simplify right side
    277.50x = 62,783.02
  5. Step 5: Solve for x
    x = 62,783.02/277.50
  6. Step 6: Final answer
    x = 226.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.