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Finding the Fourth Proportional to 364.21, 502.61 and 198.42

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Solution

The fourth proportional to 364.21, 502.61 and 198.42 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.21 : 502.61 = 198.42 : x
  2. Step 2: Convert to fraction form
    364.21/502.61 = 198.42/x
  3. Step 3: Cross multiply
    364.21x = 502.61 × 198.42
  4. Step 4: Simplify right side
    364.21x = 99,727.88
  5. Step 5: Solve for x
    x = 99,727.88/364.21
  6. Step 6: Final answer
    x = 273.82

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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.