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Finding the Fourth Proportional to 25.48, 35.16 and 20.64

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Solution

The fourth proportional to 25.48, 35.16 and 20.64 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.48 : 35.16 = 20.64 : x
  2. Step 2: Convert to fraction form
    25.48/35.16 = 20.64/x
  3. Step 3: Cross multiply
    25.48x = 35.16 × 20.64
  4. Step 4: Simplify right side
    25.48x = 725.70
  5. Step 5: Solve for x
    x = 725.70/25.48
  6. Step 6: Final answer
    x = 28.48

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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.