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Finding the Fourth Proportional to 233.70, 352.32 and 218.04

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Solution

The fourth proportional to 233.70, 352.32 and 218.04 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.70 : 352.32 = 218.04 : x
  2. Step 2: Convert to fraction form
    233.70/352.32 = 218.04/x
  3. Step 3: Cross multiply
    233.70x = 352.32 × 218.04
  4. Step 4: Simplify right side
    233.70x = 76,819.85
  5. Step 5: Solve for x
    x = 76,819.85/233.70
  6. Step 6: Final answer
    x = 328.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.