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Finding the Fourth Proportional to 422.14, 580.31 and 362.91

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Solution

The fourth proportional to 422.14, 580.31 and 362.91 is: 498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 580.31 = 362.91 : x
  2. Step 2: Convert to fraction form
    422.14/580.31 = 362.91/x
  3. Step 3: Cross multiply
    422.14x = 580.31 × 362.91
  4. Step 4: Simplify right side
    422.14x = 210,599.17
  5. Step 5: Solve for x
    x = 210,599.17/422.14
  6. Step 6: Final answer
    x = 498.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.