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Finding the Fourth Proportional to 50.96, 76.35 and 28.07

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Solution

The fourth proportional to 50.96, 76.35 and 28.07 is: 42.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.96 : 76.35 = 28.07 : x
  2. Step 2: Convert to fraction form
    50.96/76.35 = 28.07/x
  3. Step 3: Cross multiply
    50.96x = 76.35 × 28.07
  4. Step 4: Simplify right side
    50.96x = 2,143.14
  5. Step 5: Solve for x
    x = 2,143.14/50.96
  6. Step 6: Final answer
    x = 42.06

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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.