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Finding the Fourth Proportional to 282.43, 389.80 and 164.38

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Solution

The fourth proportional to 282.43, 389.80 and 164.38 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.43 : 389.80 = 164.38 : x
  2. Step 2: Convert to fraction form
    282.43/389.80 = 164.38/x
  3. Step 3: Cross multiply
    282.43x = 389.80 × 164.38
  4. Step 4: Simplify right side
    282.43x = 64,075.32
  5. Step 5: Solve for x
    x = 64,075.32/282.43
  6. Step 6: Final answer
    x = 226.87

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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.