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Finding the Fourth Proportional to 50.84, 70.22 and 49.12

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Solution

The fourth proportional to 50.84, 70.22 and 49.12 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 70.22 = 49.12 : x
  2. Step 2: Convert to fraction form
    50.84/70.22 = 49.12/x
  3. Step 3: Cross multiply
    50.84x = 70.22 × 49.12
  4. Step 4: Simplify right side
    50.84x = 3,449.21
  5. Step 5: Solve for x
    x = 3,449.21/50.84
  6. Step 6: Final answer
    x = 67.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.