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Finding the Fourth Proportional to 50.50, 75.75 and 31.23

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Solution

The fourth proportional to 50.50, 75.75 and 31.23 is: 46.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 75.75 = 31.23 : x
  2. Step 2: Convert to fraction form
    50.50/75.75 = 31.23/x
  3. Step 3: Cross multiply
    50.50x = 75.75 × 31.23
  4. Step 4: Simplify right side
    50.50x = 2,365.84
  5. Step 5: Solve for x
    x = 2,365.84/50.50
  6. Step 6: Final answer
    x = 46.85

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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.