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Finding the Fourth Proportional to 50.68, 76.30 and 45.72

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Solution

The fourth proportional to 50.68, 76.30 and 45.72 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.68 : 76.30 = 45.72 : x
  2. Step 2: Convert to fraction form
    50.68/76.30 = 45.72/x
  3. Step 3: Cross multiply
    50.68x = 76.30 × 45.72
  4. Step 4: Simplify right side
    50.68x = 3,488.44
  5. Step 5: Solve for x
    x = 3,488.44/50.68
  6. Step 6: Final answer
    x = 68.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.