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Finding the Fourth Proportional to 253.59, 379.68 and 216.91

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Solution

The fourth proportional to 253.59, 379.68 and 216.91 is: 324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.59 : 379.68 = 216.91 : x
  2. Step 2: Convert to fraction form
    253.59/379.68 = 216.91/x
  3. Step 3: Cross multiply
    253.59x = 379.68 × 216.91
  4. Step 4: Simplify right side
    253.59x = 82,356.39
  5. Step 5: Solve for x
    x = 82,356.39/253.59
  6. Step 6: Final answer
    x = 324.76

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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.