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Finding the Fourth Proportional to 422.66, 633.12 and 285.76

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Solution

The fourth proportional to 422.66, 633.12 and 285.76 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 633.12 = 285.76 : x
  2. Step 2: Convert to fraction form
    422.66/633.12 = 285.76/x
  3. Step 3: Cross multiply
    422.66x = 633.12 × 285.76
  4. Step 4: Simplify right side
    422.66x = 180,920.37
  5. Step 5: Solve for x
    x = 180,920.37/422.66
  6. Step 6: Final answer
    x = 428.05

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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.