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Finding the Fourth Proportional to 25.47, 38.35 and 20.43

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Solution

The fourth proportional to 25.47, 38.35 and 20.43 is: 30.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.47 : 38.35 = 20.43 : x
  2. Step 2: Convert to fraction form
    25.47/38.35 = 20.43/x
  3. Step 3: Cross multiply
    25.47x = 38.35 × 20.43
  4. Step 4: Simplify right side
    25.47x = 783.49
  5. Step 5: Solve for x
    x = 783.49/25.47
  6. Step 6: Final answer
    x = 30.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.