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Finding the Fourth Proportional to 253.58, 349.79 and 198.23

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Solution

The fourth proportional to 253.58, 349.79 and 198.23 is: 273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.58 : 349.79 = 198.23 : x
  2. Step 2: Convert to fraction form
    253.58/349.79 = 198.23/x
  3. Step 3: Cross multiply
    253.58x = 349.79 × 198.23
  4. Step 4: Simplify right side
    253.58x = 69,336.13
  5. Step 5: Solve for x
    x = 69,336.13/253.58
  6. Step 6: Final answer
    x = 273.43

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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.