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Finding the Fourth Proportional to 263.21, 394.61 and 139.55

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Solution

The fourth proportional to 263.21, 394.61 and 139.55 is: 209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.21 : 394.61 = 139.55 : x
  2. Step 2: Convert to fraction form
    263.21/394.61 = 139.55/x
  3. Step 3: Cross multiply
    263.21x = 394.61 × 139.55
  4. Step 4: Simplify right side
    263.21x = 55,065.15
  5. Step 5: Solve for x
    x = 55,065.15/263.21
  6. Step 6: Final answer
    x = 209.21

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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.