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Finding the Fourth Proportional to 282.19, 422.90 and 158.86

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Solution

The fourth proportional to 282.19, 422.90 and 158.86 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.19 : 422.90 = 158.86 : x
  2. Step 2: Convert to fraction form
    282.19/422.90 = 158.86/x
  3. Step 3: Cross multiply
    282.19x = 422.90 × 158.86
  4. Step 4: Simplify right side
    282.19x = 67,179.78
  5. Step 5: Solve for x
    x = 67,179.78/282.19
  6. Step 6: Final answer
    x = 238.06

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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.