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Finding the Fourth Proportional to 364.53, 503.06 and 198.74

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Solution

The fourth proportional to 364.53, 503.06 and 198.74 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.53 : 503.06 = 198.74 : x
  2. Step 2: Convert to fraction form
    364.53/503.06 = 198.74/x
  3. Step 3: Cross multiply
    364.53x = 503.06 × 198.74
  4. Step 4: Simplify right side
    364.53x = 99,974.64
  5. Step 5: Solve for x
    x = 99,974.64/364.53
  6. Step 6: Final answer
    x = 274.26

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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.