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Finding the Fourth Proportional to 642.11, 885.96 and 362.31

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Solution

The fourth proportional to 642.11, 885.96 and 362.31 is: 499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.11 : 885.96 = 362.31 : x
  2. Step 2: Convert to fraction form
    642.11/885.96 = 362.31/x
  3. Step 3: Cross multiply
    642.11x = 885.96 × 362.31
  4. Step 4: Simplify right side
    642.11x = 320,992.17
  5. Step 5: Solve for x
    x = 320,992.17/642.11
  6. Step 6: Final answer
    x = 499.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.