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Finding the Fourth Proportional to 25.69, 38.62 and 21.21

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Solution

The fourth proportional to 25.69, 38.62 and 21.21 is: 31.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.69 : 38.62 = 21.21 : x
  2. Step 2: Convert to fraction form
    25.69/38.62 = 21.21/x
  3. Step 3: Cross multiply
    25.69x = 38.62 × 21.21
  4. Step 4: Simplify right side
    25.69x = 819.13
  5. Step 5: Solve for x
    x = 819.13/25.69
  6. Step 6: Final answer
    x = 31.89

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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.