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Finding the Fourth Proportional to 356.33, 491.73 and 198.97

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Solution

The fourth proportional to 356.33, 491.73 and 198.97 is: 274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.33 : 491.73 = 198.97 : x
  2. Step 2: Convert to fraction form
    356.33/491.73 = 198.97/x
  3. Step 3: Cross multiply
    356.33x = 491.73 × 198.97
  4. Step 4: Simplify right side
    356.33x = 97,839.52
  5. Step 5: Solve for x
    x = 97,839.52/356.33
  6. Step 6: Final answer
    x = 274.58

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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.