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Finding the Fourth Proportional to 364.72, 503.32 and 198.94

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Solution

The fourth proportional to 364.72, 503.32 and 198.94 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 503.32 = 198.94 : x
  2. Step 2: Convert to fraction form
    364.72/503.32 = 198.94/x
  3. Step 3: Cross multiply
    364.72x = 503.32 × 198.94
  4. Step 4: Simplify right side
    364.72x = 100,128.48
  5. Step 5: Solve for x
    x = 100,128.48/364.72
  6. Step 6: Final answer
    x = 274.54

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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.