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Finding the Fourth Proportional to 322.28, 482.96 and 139.78

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Solution

The fourth proportional to 322.28, 482.96 and 139.78 is: 209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.28 : 482.96 = 139.78 : x
  2. Step 2: Convert to fraction form
    322.28/482.96 = 139.78/x
  3. Step 3: Cross multiply
    322.28x = 482.96 × 139.78
  4. Step 4: Simplify right side
    322.28x = 67,506.39
  5. Step 5: Solve for x
    x = 67,506.39/322.28
  6. Step 6: Final answer
    x = 209.47

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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.