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Finding the Fourth Proportional to 175.37, 262.78 and 77.83

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Solution

The fourth proportional to 175.37, 262.78 and 77.83 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 262.78 = 77.83 : x
  2. Step 2: Convert to fraction form
    175.37/262.78 = 77.83/x
  3. Step 3: Cross multiply
    175.37x = 262.78 × 77.83
  4. Step 4: Simplify right side
    175.37x = 20,451.32
  5. Step 5: Solve for x
    x = 20,451.32/175.37
  6. Step 6: Final answer
    x = 116.62

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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.