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Finding the Fourth Proportional to 234.42, 353.11 and 180.69

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Solution

The fourth proportional to 234.42, 353.11 and 180.69 is: 272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 353.11 = 180.69 : x
  2. Step 2: Convert to fraction form
    234.42/353.11 = 180.69/x
  3. Step 3: Cross multiply
    234.42x = 353.11 × 180.69
  4. Step 4: Simplify right side
    234.42x = 63,802.99
  5. Step 5: Solve for x
    x = 63,802.99/234.42
  6. Step 6: Final answer
    x = 272.17

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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.