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Finding the Fourth Proportional to 322.14, 482.78 and 139.28

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Solution

The fourth proportional to 322.14, 482.78 and 139.28 is: 208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 482.78 = 139.28 : x
  2. Step 2: Convert to fraction form
    322.14/482.78 = 139.28/x
  3. Step 3: Cross multiply
    322.14x = 482.78 × 139.28
  4. Step 4: Simplify right side
    322.14x = 67,238.49
  5. Step 5: Solve for x
    x = 67,238.49/322.14
  6. Step 6: Final answer
    x = 208.72

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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.