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Finding the Fourth Proportional to 49.31, 68.37 and 47.09

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Solution

The fourth proportional to 49.31, 68.37 and 47.09 is: 65.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.31 : 68.37 = 47.09 : x
  2. Step 2: Convert to fraction form
    49.31/68.37 = 47.09/x
  3. Step 3: Cross multiply
    49.31x = 68.37 × 47.09
  4. Step 4: Simplify right side
    49.31x = 3,219.20
  5. Step 5: Solve for x
    x = 3,219.20/49.31
  6. Step 6: Final answer
    x = 65.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.