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Finding the Fourth Proportional to 368.97, 553.15 and 204.43

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Solution

The fourth proportional to 368.97, 553.15 and 204.43 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.97 : 553.15 = 204.43 : x
  2. Step 2: Convert to fraction form
    368.97/553.15 = 204.43/x
  3. Step 3: Cross multiply
    368.97x = 553.15 × 204.43
  4. Step 4: Simplify right side
    368.97x = 113,080.45
  5. Step 5: Solve for x
    x = 113,080.45/368.97
  6. Step 6: Final answer
    x = 306.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.