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Finding the Fourth Proportional to 422.21, 583.10 and 322.99

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Solution

The fourth proportional to 422.21, 583.10 and 322.99 is: 446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 583.10 = 322.99 : x
  2. Step 2: Convert to fraction form
    422.21/583.10 = 322.99/x
  3. Step 3: Cross multiply
    422.21x = 583.10 × 322.99
  4. Step 4: Simplify right side
    422.21x = 188,333.61
  5. Step 5: Solve for x
    x = 188,333.61/422.21
  6. Step 6: Final answer
    x = 446.06

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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.