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Finding the Fourth Proportional to 645.37, 968.03 and 234.51

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Solution

The fourth proportional to 645.37, 968.03 and 234.51 is: 351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.37 : 968.03 = 234.51 : x
  2. Step 2: Convert to fraction form
    645.37/968.03 = 234.51/x
  3. Step 3: Cross multiply
    645.37x = 968.03 × 234.51
  4. Step 4: Simplify right side
    645.37x = 227,015.56
  5. Step 5: Solve for x
    x = 227,015.56/645.37
  6. Step 6: Final answer
    x = 351.76

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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.