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Finding the Fourth Proportional to 277.52, 417.77 and 196.92

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Solution

The fourth proportional to 277.52, 417.77 and 196.92 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 417.77 = 196.92 : x
  2. Step 2: Convert to fraction form
    277.52/417.77 = 196.92/x
  3. Step 3: Cross multiply
    277.52x = 417.77 × 196.92
  4. Step 4: Simplify right side
    277.52x = 82,267.27
  5. Step 5: Solve for x
    x = 82,267.27/277.52
  6. Step 6: Final answer
    x = 296.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.