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Finding the Fourth Proportional to 422.97, 584.11 and 364.20

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Solution

The fourth proportional to 422.97, 584.11 and 364.20 is: 502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.97 : 584.11 = 364.20 : x
  2. Step 2: Convert to fraction form
    422.97/584.11 = 364.20/x
  3. Step 3: Cross multiply
    422.97x = 584.11 × 364.20
  4. Step 4: Simplify right side
    422.97x = 212,731.13
  5. Step 5: Solve for x
    x = 212,731.13/422.97
  6. Step 6: Final answer
    x = 502.94

Related Problems

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Double scale
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1.5x scale

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.