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Finding the Fourth Proportional to 25.09, 34.64 and 19.65

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Solution

The fourth proportional to 25.09, 34.64 and 19.65 is: 27.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.09 : 34.64 = 19.65 : x
  2. Step 2: Convert to fraction form
    25.09/34.64 = 19.65/x
  3. Step 3: Cross multiply
    25.09x = 34.64 × 19.65
  4. Step 4: Simplify right side
    25.09x = 680.68
  5. Step 5: Solve for x
    x = 680.68/25.09
  6. Step 6: Final answer
    x = 27.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.