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Finding the Fourth Proportional to 282.10, 422.72 and 137.64

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Solution

The fourth proportional to 282.10, 422.72 and 137.64 is: 206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.10 : 422.72 = 137.64 : x
  2. Step 2: Convert to fraction form
    282.10/422.72 = 137.64/x
  3. Step 3: Cross multiply
    282.10x = 422.72 × 137.64
  4. Step 4: Simplify right side
    282.10x = 58,183.18
  5. Step 5: Solve for x
    x = 58,183.18/282.10
  6. Step 6: Final answer
    x = 206.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.