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Finding the Fourth Proportional to 34.45, 51.97 and 34.05

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Solution

The fourth proportional to 34.45, 51.97 and 34.05 is: 51.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.45 : 51.97 = 34.05 : x
  2. Step 2: Convert to fraction form
    34.45/51.97 = 34.05/x
  3. Step 3: Cross multiply
    34.45x = 51.97 × 34.05
  4. Step 4: Simplify right side
    34.45x = 1,769.22
  5. Step 5: Solve for x
    x = 1,769.22/34.45
  6. Step 6: Final answer
    x = 51.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.