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Finding the Fourth Proportional to 364.17, 502.55 and 198.39

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Solution

The fourth proportional to 364.17, 502.55 and 198.39 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 502.55 = 198.39 : x
  2. Step 2: Convert to fraction form
    364.17/502.55 = 198.39/x
  3. Step 3: Cross multiply
    364.17x = 502.55 × 198.39
  4. Step 4: Simplify right side
    364.17x = 99,700.89
  5. Step 5: Solve for x
    x = 99,700.89/364.17
  6. Step 6: Final answer
    x = 273.78

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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.