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Finding the Fourth Proportional to 364.42, 502.92 and 198.64

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Solution

The fourth proportional to 364.42, 502.92 and 198.64 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 502.92 = 198.64 : x
  2. Step 2: Convert to fraction form
    364.42/502.92 = 198.64/x
  3. Step 3: Cross multiply
    364.42x = 502.92 × 198.64
  4. Step 4: Simplify right side
    364.42x = 99,900.03
  5. Step 5: Solve for x
    x = 99,900.03/364.42
  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.