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Finding the Fourth Proportional to 253.29, 378.06 and 220.71

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Solution

The fourth proportional to 253.29, 378.06 and 220.71 is: 329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.29 : 378.06 = 220.71 : x
  2. Step 2: Convert to fraction form
    253.29/378.06 = 220.71/x
  3. Step 3: Cross multiply
    253.29x = 378.06 × 220.71
  4. Step 4: Simplify right side
    253.29x = 83,441.62
  5. Step 5: Solve for x
    x = 83,441.62/253.29
  6. Step 6: Final answer
    x = 329.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.