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Finding the Fourth Proportional to 503.90, 755.69 and 179.19

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Solution

The fourth proportional to 503.90, 755.69 and 179.19 is: 268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.90 : 755.69 = 179.19 : x
  2. Step 2: Convert to fraction form
    503.90/755.69 = 179.19/x
  3. Step 3: Cross multiply
    503.90x = 755.69 × 179.19
  4. Step 4: Simplify right side
    503.90x = 135,412.09
  5. Step 5: Solve for x
    x = 135,412.09/503.90
  6. Step 6: Final answer
    x = 268.73

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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.