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Finding the Fourth Proportional to 50.78, 76.19 and 31.55

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Solution

The fourth proportional to 50.78, 76.19 and 31.55 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 76.19 = 31.55 : x
  2. Step 2: Convert to fraction form
    50.78/76.19 = 31.55/x
  3. Step 3: Cross multiply
    50.78x = 76.19 × 31.55
  4. Step 4: Simplify right side
    50.78x = 2,403.26
  5. Step 5: Solve for x
    x = 2,403.26/50.78
  6. Step 6: Final answer
    x = 47.33

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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.