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Finding the Fourth Proportional to 34.69, 52.04 and 13.31

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Solution

The fourth proportional to 34.69, 52.04 and 13.31 is: 19.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.69 : 52.04 = 13.31 : x
  2. Step 2: Convert to fraction form
    34.69/52.04 = 13.31/x
  3. Step 3: Cross multiply
    34.69x = 52.04 × 13.31
  4. Step 4: Simplify right side
    34.69x = 692.77
  5. Step 5: Solve for x
    x = 692.77/34.69
  6. Step 6: Final answer
    x = 19.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.