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Finding the Fourth Proportional to 321.85, 482.94 and 139.23

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Solution

The fourth proportional to 321.85, 482.94 and 139.23 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 482.94 = 139.23 : x
  2. Step 2: Convert to fraction form
    321.85/482.94 = 139.23/x
  3. Step 3: Cross multiply
    321.85x = 482.94 × 139.23
  4. Step 4: Simplify right side
    321.85x = 67,237.32
  5. Step 5: Solve for x
    x = 67,237.32/321.85
  6. Step 6: Final answer
    x = 208.91

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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.