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Finding the Fourth Proportional to 282.31, 389.63 and 164.27

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Solution

The fourth proportional to 282.31, 389.63 and 164.27 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 389.63 = 164.27 : x
  2. Step 2: Convert to fraction form
    282.31/389.63 = 164.27/x
  3. Step 3: Cross multiply
    282.31x = 389.63 × 164.27
  4. Step 4: Simplify right side
    282.31x = 64,001.75
  5. Step 5: Solve for x
    x = 64,001.75/282.31
  6. Step 6: Final answer
    x = 226.71

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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.