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Finding the Fourth Proportional to 234.66, 350.04 and 214.14

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Solution

The fourth proportional to 234.66, 350.04 and 214.14 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 350.04 = 214.14 : x
  2. Step 2: Convert to fraction form
    234.66/350.04 = 214.14/x
  3. Step 3: Cross multiply
    234.66x = 350.04 × 214.14
  4. Step 4: Simplify right side
    234.66x = 74,957.57
  5. Step 5: Solve for x
    x = 74,957.57/234.66
  6. Step 6: Final answer
    x = 319.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.