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Finding the Fourth Proportional to 50.49, 75.78 and 50.12

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Solution

The fourth proportional to 50.49, 75.78 and 50.12 is: 75.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.49 : 75.78 = 50.12 : x
  2. Step 2: Convert to fraction form
    50.49/75.78 = 50.12/x
  3. Step 3: Cross multiply
    50.49x = 75.78 × 50.12
  4. Step 4: Simplify right side
    50.49x = 3,798.09
  5. Step 5: Solve for x
    x = 3,798.09/50.49
  6. Step 6: Final answer
    x = 75.22

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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.