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Finding the Fourth Proportional to 76.41, 114.35 and 50.76

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Solution

The fourth proportional to 76.41, 114.35 and 50.76 is: 75.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.41 : 114.35 = 50.76 : x
  2. Step 2: Convert to fraction form
    76.41/114.35 = 50.76/x
  3. Step 3: Cross multiply
    76.41x = 114.35 × 50.76
  4. Step 4: Simplify right side
    76.41x = 5,804.15
  5. Step 5: Solve for x
    x = 5,804.15/76.41
  6. Step 6: Final answer
    x = 75.96

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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.