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Finding the Fourth Proportional to 322.12, 482.90 and 139.66

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Solution

The fourth proportional to 322.12, 482.90 and 139.66 is: 209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 482.90 = 139.66 : x
  2. Step 2: Convert to fraction form
    322.12/482.90 = 139.66/x
  3. Step 3: Cross multiply
    322.12x = 482.90 × 139.66
  4. Step 4: Simplify right side
    322.12x = 67,441.81
  5. Step 5: Solve for x
    x = 67,441.81/322.12
  6. Step 6: Final answer
    x = 209.37

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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.