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Finding the Fourth Proportional to 277.49, 417.20 and 220.43

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Solution

The fourth proportional to 277.49, 417.20 and 220.43 is: 331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.49 : 417.20 = 220.43 : x
  2. Step 2: Convert to fraction form
    277.49/417.20 = 220.43/x
  3. Step 3: Cross multiply
    277.49x = 417.20 × 220.43
  4. Step 4: Simplify right side
    277.49x = 91,963.34
  5. Step 5: Solve for x
    x = 91,963.34/277.49
  6. Step 6: Final answer
    x = 331.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.