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Finding the Fourth Proportional to 204.03, 279.75 and 193.59

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Solution

The fourth proportional to 204.03, 279.75 and 193.59 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.03 : 279.75 = 193.59 : x
  2. Step 2: Convert to fraction form
    204.03/279.75 = 193.59/x
  3. Step 3: Cross multiply
    204.03x = 279.75 × 193.59
  4. Step 4: Simplify right side
    204.03x = 54,156.80
  5. Step 5: Solve for x
    x = 54,156.80/204.03
  6. Step 6: Final answer
    x = 265.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.