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Finding the Fourth Proportional to 481.27, 721.47 and 188.70

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Solution

The fourth proportional to 481.27, 721.47 and 188.70 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.27 : 721.47 = 188.70 : x
  2. Step 2: Convert to fraction form
    481.27/721.47 = 188.70/x
  3. Step 3: Cross multiply
    481.27x = 721.47 × 188.70
  4. Step 4: Simplify right side
    481.27x = 136,141.39
  5. Step 5: Solve for x
    x = 136,141.39/481.27
  6. Step 6: Final answer
    x = 282.88

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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.