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Finding the Fourth Proportional to 768.15, 1,151.96 and 220.23

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Solution

The fourth proportional to 768.15, 1,151.96 and 220.23 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.15 : 1,151.96 = 220.23 : x
  2. Step 2: Convert to fraction form
    768.15/1,151.96 = 220.23/x
  3. Step 3: Cross multiply
    768.15x = 1,151.96 × 220.23
  4. Step 4: Simplify right side
    768.15x = 253,695.05
  5. Step 5: Solve for x
    x = 253,695.05/768.15
  6. Step 6: Final answer
    x = 330.27

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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.