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Finding the Fourth Proportional to 386.06, 576.83 and 281.44

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Solution

The fourth proportional to 386.06, 576.83 and 281.44 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.06 : 576.83 = 281.44 : x
  2. Step 2: Convert to fraction form
    386.06/576.83 = 281.44/x
  3. Step 3: Cross multiply
    386.06x = 576.83 × 281.44
  4. Step 4: Simplify right side
    386.06x = 162,343.04
  5. Step 5: Solve for x
    x = 162,343.04/386.06
  6. Step 6: Final answer
    x = 420.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.