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Finding the Fourth Proportional to 25.64, 38.26 and 23.21

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Solution

The fourth proportional to 25.64, 38.26 and 23.21 is: 34.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 38.26 = 23.21 : x
  2. Step 2: Convert to fraction form
    25.64/38.26 = 23.21/x
  3. Step 3: Cross multiply
    25.64x = 38.26 × 23.21
  4. Step 4: Simplify right side
    25.64x = 887.82
  5. Step 5: Solve for x
    x = 887.82/25.64
  6. Step 6: Final answer
    x = 34.63

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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.