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Finding the Fourth Proportional to 503.94, 755.90 and 138.73

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Solution

The fourth proportional to 503.94, 755.90 and 138.73 is: 208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.94 : 755.90 = 138.73 : x
  2. Step 2: Convert to fraction form
    503.94/755.90 = 138.73/x
  3. Step 3: Cross multiply
    503.94x = 755.90 × 138.73
  4. Step 4: Simplify right side
    503.94x = 104,866.01
  5. Step 5: Solve for x
    x = 104,866.01/503.94
  6. Step 6: Final answer
    x = 208.09

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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.