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Finding the Fourth Proportional to 352.21, 485.78 and 233.97

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Solution

The fourth proportional to 352.21, 485.78 and 233.97 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.21 : 485.78 = 233.97 : x
  2. Step 2: Convert to fraction form
    352.21/485.78 = 233.97/x
  3. Step 3: Cross multiply
    352.21x = 485.78 × 233.97
  4. Step 4: Simplify right side
    352.21x = 113,657.95
  5. Step 5: Solve for x
    x = 113,657.95/352.21
  6. Step 6: Final answer
    x = 322.70

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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.