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Finding the Fourth Proportional to 76.53, 105.57 and 50.31

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Solution

The fourth proportional to 76.53, 105.57 and 50.31 is: 69.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 105.57 = 50.31 : x
  2. Step 2: Convert to fraction form
    76.53/105.57 = 50.31/x
  3. Step 3: Cross multiply
    76.53x = 105.57 × 50.31
  4. Step 4: Simplify right side
    76.53x = 5,310.84
  5. Step 5: Solve for x
    x = 5,310.84/76.53
  6. Step 6: Final answer
    x = 69.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.