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Finding the Fourth Proportional to 51.22, 70.31 and 49.60

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Solution

The fourth proportional to 51.22, 70.31 and 49.60 is: 68.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.22 : 70.31 = 49.60 : x
  2. Step 2: Convert to fraction form
    51.22/70.31 = 49.60/x
  3. Step 3: Cross multiply
    51.22x = 70.31 × 49.60
  4. Step 4: Simplify right side
    51.22x = 3,487.38
  5. Step 5: Solve for x
    x = 3,487.38/51.22
  6. Step 6: Final answer
    x = 68.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.