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Finding the Fourth Proportional to 233.64, 352.44 and 216.36

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Solution

The fourth proportional to 233.64, 352.44 and 216.36 is: 326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 352.44 = 216.36 : x
  2. Step 2: Convert to fraction form
    233.64/352.44 = 216.36/x
  3. Step 3: Cross multiply
    233.64x = 352.44 × 216.36
  4. Step 4: Simplify right side
    233.64x = 76,253.92
  5. Step 5: Solve for x
    x = 76,253.92/233.64
  6. Step 6: Final answer
    x = 326.37

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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.