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Finding the Fourth Proportional to 49.40, 68.22 and 31

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Solution

The fourth proportional to 49.40, 68.22 and 31 is: 42.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 68.22 = 31 : x
  2. Step 2: Convert to fraction form
    49.40/68.22 = 31/x
  3. Step 3: Cross multiply
    49.40x = 68.22 × 31
  4. Step 4: Simplify right side
    49.40x = 2,114.82
  5. Step 5: Solve for x
    x = 2,114.82/49.40
  6. Step 6: Final answer
    x = 42.81

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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.