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Finding the Fourth Proportional to 333.80, 500.86 and 138.95

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Solution

The fourth proportional to 333.80, 500.86 and 138.95 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 500.86 = 138.95 : x
  2. Step 2: Convert to fraction form
    333.80/500.86 = 138.95/x
  3. Step 3: Cross multiply
    333.80x = 500.86 × 138.95
  4. Step 4: Simplify right side
    333.80x = 69,592.90
  5. Step 5: Solve for x
    x = 69,592.90/333.80
  6. Step 6: Final answer
    x = 208.49

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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.