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Finding the Fourth Proportional to 277.07, 414.77 and 221.97

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Solution

The fourth proportional to 277.07, 414.77 and 221.97 is: 332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.07 : 414.77 = 221.97 : x
  2. Step 2: Convert to fraction form
    277.07/414.77 = 221.97/x
  3. Step 3: Cross multiply
    277.07x = 414.77 × 221.97
  4. Step 4: Simplify right side
    277.07x = 92,068.19
  5. Step 5: Solve for x
    x = 92,068.19/277.07
  6. Step 6: Final answer
    x = 332.29

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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.