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Finding the Fourth Proportional to 766.17, 1,148.91 and 218.22

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Solution

The fourth proportional to 766.17, 1,148.91 and 218.22 is: 327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.17 : 1,148.91 = 218.22 : x
  2. Step 2: Convert to fraction form
    766.17/1,148.91 = 218.22/x
  3. Step 3: Cross multiply
    766.17x = 1,148.91 × 218.22
  4. Step 4: Simplify right side
    766.17x = 250,715.14
  5. Step 5: Solve for x
    x = 250,715.14/766.17
  6. Step 6: Final answer
    x = 327.23

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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.