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Finding the Fourth Proportional to 422.99, 585.06 and 335.34

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Solution

The fourth proportional to 422.99, 585.06 and 335.34 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.99 : 585.06 = 335.34 : x
  2. Step 2: Convert to fraction form
    422.99/585.06 = 335.34/x
  3. Step 3: Cross multiply
    422.99x = 585.06 × 335.34
  4. Step 4: Simplify right side
    422.99x = 196,192.76
  5. Step 5: Solve for x
    x = 196,192.76/422.99
  6. Step 6: Final answer
    x = 463.83

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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.