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Finding the Fourth Proportional to 282.62, 389.89 and 166.14

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Solution

The fourth proportional to 282.62, 389.89 and 166.14 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.62 : 389.89 = 166.14 : x
  2. Step 2: Convert to fraction form
    282.62/389.89 = 166.14/x
  3. Step 3: Cross multiply
    282.62x = 389.89 × 166.14
  4. Step 4: Simplify right side
    282.62x = 64,776.32
  5. Step 5: Solve for x
    x = 64,776.32/282.62
  6. Step 6: Final answer
    x = 229.20

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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.