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Finding the Fourth Proportional to 645.14, 968.09 and 234.30

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Solution

The fourth proportional to 645.14, 968.09 and 234.30 is: 351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.14 : 968.09 = 234.30 : x
  2. Step 2: Convert to fraction form
    645.14/968.09 = 234.30/x
  3. Step 3: Cross multiply
    645.14x = 968.09 × 234.30
  4. Step 4: Simplify right side
    645.14x = 226,825.95
  5. Step 5: Solve for x
    x = 226,825.95/645.14
  6. Step 6: Final answer
    x = 351.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.