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Finding the Fourth Proportional to 422.14, 631.95 and 340.30

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Solution

The fourth proportional to 422.14, 631.95 and 340.30 is: 509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 631.95 = 340.30 : x
  2. Step 2: Convert to fraction form
    422.14/631.95 = 340.30/x
  3. Step 3: Cross multiply
    422.14x = 631.95 × 340.30
  4. Step 4: Simplify right side
    422.14x = 215,052.59
  5. Step 5: Solve for x
    x = 215,052.59/422.14
  6. Step 6: Final answer
    x = 509.43

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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.