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Finding the Fourth Proportional to 234.17, 352.65 and 204.09

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Solution

The fourth proportional to 234.17, 352.65 and 204.09 is: 307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.17 : 352.65 = 204.09 : x
  2. Step 2: Convert to fraction form
    234.17/352.65 = 204.09/x
  3. Step 3: Cross multiply
    234.17x = 352.65 × 204.09
  4. Step 4: Simplify right side
    234.17x = 71,973.03
  5. Step 5: Solve for x
    x = 71,973.03/234.17
  6. Step 6: Final answer
    x = 307.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.