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Finding the Fourth Proportional to 234.35, 349.79 and 207.31

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Solution

The fourth proportional to 234.35, 349.79 and 207.31 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.35 : 349.79 = 207.31 : x
  2. Step 2: Convert to fraction form
    234.35/349.79 = 207.31/x
  3. Step 3: Cross multiply
    234.35x = 349.79 × 207.31
  4. Step 4: Simplify right side
    234.35x = 72,514.96
  5. Step 5: Solve for x
    x = 72,514.96/234.35
  6. Step 6: Final answer
    x = 309.43

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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.