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Finding the Fourth Proportional to 275.79, 381.08 and 217.25

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Solution

The fourth proportional to 275.79, 381.08 and 217.25 is: 300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.79 : 381.08 = 217.25 : x
  2. Step 2: Convert to fraction form
    275.79/381.08 = 217.25/x
  3. Step 3: Cross multiply
    275.79x = 381.08 × 217.25
  4. Step 4: Simplify right side
    275.79x = 82,786.64
  5. Step 5: Solve for x
    x = 82,786.64/275.79
  6. Step 6: Final answer
    x = 300.18

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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.