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Finding the Fourth Proportional to 252.32, 377.46 and 216.68

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Solution

The fourth proportional to 252.32, 377.46 and 216.68 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 377.46 = 216.68 : x
  2. Step 2: Convert to fraction form
    252.32/377.46 = 216.68/x
  3. Step 3: Cross multiply
    252.32x = 377.46 × 216.68
  4. Step 4: Simplify right side
    252.32x = 81,786.15
  5. Step 5: Solve for x
    x = 81,786.15/252.32
  6. Step 6: Final answer
    x = 324.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.