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Finding the Fourth Proportional to 234.71, 349.31 and 233.99

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Solution

The fourth proportional to 234.71, 349.31 and 233.99 is: 348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.71 : 349.31 = 233.99 : x
  2. Step 2: Convert to fraction form
    234.71/349.31 = 233.99/x
  3. Step 3: Cross multiply
    234.71x = 349.31 × 233.99
  4. Step 4: Simplify right side
    234.71x = 81,735.05
  5. Step 5: Solve for x
    x = 81,735.05/234.71
  6. Step 6: Final answer
    x = 348.24

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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.