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Finding the Fourth Proportional to 51.68, 76.96 and 50.34

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Solution

The fourth proportional to 51.68, 76.96 and 50.34 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.68 : 76.96 = 50.34 : x
  2. Step 2: Convert to fraction form
    51.68/76.96 = 50.34/x
  3. Step 3: Cross multiply
    51.68x = 76.96 × 50.34
  4. Step 4: Simplify right side
    51.68x = 3,874.17
  5. Step 5: Solve for x
    x = 3,874.17/51.68
  6. Step 6: Final answer
    x = 74.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.