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Finding the Fourth Proportional to 768.24, 1,152.56 and 220.46

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Solution

The fourth proportional to 768.24, 1,152.56 and 220.46 is: 330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.24 : 1,152.56 = 220.46 : x
  2. Step 2: Convert to fraction form
    768.24/1,152.56 = 220.46/x
  3. Step 3: Cross multiply
    768.24x = 1,152.56 × 220.46
  4. Step 4: Simplify right side
    768.24x = 254,088.17
  5. Step 5: Solve for x
    x = 254,088.17/768.24
  6. Step 6: Final answer
    x = 330.74

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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.