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Finding the Fourth Proportional to 281.78, 389.34 and 216.62

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Solution

The fourth proportional to 281.78, 389.34 and 216.62 is: 299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.78 : 389.34 = 216.62 : x
  2. Step 2: Convert to fraction form
    281.78/389.34 = 216.62/x
  3. Step 3: Cross multiply
    281.78x = 389.34 × 216.62
  4. Step 4: Simplify right side
    281.78x = 84,338.83
  5. Step 5: Solve for x
    x = 84,338.83/281.78
  6. Step 6: Final answer
    x = 299.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.