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Finding the Fourth Proportional to 34.70, 51.78 and 30.69

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Solution

The fourth proportional to 34.70, 51.78 and 30.69 is: 45.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.70 : 51.78 = 30.69 : x
  2. Step 2: Convert to fraction form
    34.70/51.78 = 30.69/x
  3. Step 3: Cross multiply
    34.70x = 51.78 × 30.69
  4. Step 4: Simplify right side
    34.70x = 1,589.24
  5. Step 5: Solve for x
    x = 1,589.24/34.70
  6. Step 6: Final answer
    x = 45.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.