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Finding the Fourth Proportional to 253.66, 380.22 and 217.48

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Solution

The fourth proportional to 253.66, 380.22 and 217.48 is: 325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.66 : 380.22 = 217.48 : x
  2. Step 2: Convert to fraction form
    253.66/380.22 = 217.48/x
  3. Step 3: Cross multiply
    253.66x = 380.22 × 217.48
  4. Step 4: Simplify right side
    253.66x = 82,690.25
  5. Step 5: Solve for x
    x = 82,690.25/253.66
  6. Step 6: Final answer
    x = 325.99

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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.