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Finding the Fourth Proportional to 301.88, 416.77 and 198.56

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Solution

The fourth proportional to 301.88, 416.77 and 198.56 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 416.77 = 198.56 : x
  2. Step 2: Convert to fraction form
    301.88/416.77 = 198.56/x
  3. Step 3: Cross multiply
    301.88x = 416.77 × 198.56
  4. Step 4: Simplify right side
    301.88x = 82,753.85
  5. Step 5: Solve for x
    x = 82,753.85/301.88
  6. Step 6: Final answer
    x = 274.13

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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.