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Finding the Fourth Proportional to 503.78, 755.64 and 179.14

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Solution

The fourth proportional to 503.78, 755.64 and 179.14 is: 268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.78 : 755.64 = 179.14 : x
  2. Step 2: Convert to fraction form
    503.78/755.64 = 179.14/x
  3. Step 3: Cross multiply
    503.78x = 755.64 × 179.14
  4. Step 4: Simplify right side
    503.78x = 135,365.35
  5. Step 5: Solve for x
    x = 135,365.35/503.78
  6. Step 6: Final answer
    x = 268.70

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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.