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Finding the Fourth Proportional to 50.68, 76.12 and 30.42

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Solution

The fourth proportional to 50.68, 76.12 and 30.42 is: 45.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.68 : 76.12 = 30.42 : x
  2. Step 2: Convert to fraction form
    50.68/76.12 = 30.42/x
  3. Step 3: Cross multiply
    50.68x = 76.12 × 30.42
  4. Step 4: Simplify right side
    50.68x = 2,315.57
  5. Step 5: Solve for x
    x = 2,315.57/50.68
  6. Step 6: Final answer
    x = 45.69

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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.