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Finding the Fourth Proportional to 364.66, 503.21 and 198.87

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Solution

The fourth proportional to 364.66, 503.21 and 198.87 is: 274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 503.21 = 198.87 : x
  2. Step 2: Convert to fraction form
    364.66/503.21 = 198.87/x
  3. Step 3: Cross multiply
    364.66x = 503.21 × 198.87
  4. Step 4: Simplify right side
    364.66x = 100,073.37
  5. Step 5: Solve for x
    x = 100,073.37/364.66
  6. Step 6: Final answer
    x = 274.43

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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.