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Finding the Fourth Proportional to 422.72, 630.48 and 364.28

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Solution

The fourth proportional to 422.72, 630.48 and 364.28 is: 543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 630.48 = 364.28 : x
  2. Step 2: Convert to fraction form
    422.72/630.48 = 364.28/x
  3. Step 3: Cross multiply
    422.72x = 630.48 × 364.28
  4. Step 4: Simplify right side
    422.72x = 229,671.25
  5. Step 5: Solve for x
    x = 229,671.25/422.72
  6. Step 6: Final answer
    x = 543.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.