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Finding the Fourth Proportional to 645.36, 968.12 and 234.69

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Solution

The fourth proportional to 645.36, 968.12 and 234.69 is: 352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.36 : 968.12 = 234.69 : x
  2. Step 2: Convert to fraction form
    645.36/968.12 = 234.69/x
  3. Step 3: Cross multiply
    645.36x = 968.12 × 234.69
  4. Step 4: Simplify right side
    645.36x = 227,206.91
  5. Step 5: Solve for x
    x = 227,206.91/645.36
  6. Step 6: Final answer
    x = 352.06

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