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Finding the Fourth Proportional to 20.02, 27.46 and 18.46

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Solution

The fourth proportional to 20.02, 27.46 and 18.46 is: 25.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.02 : 27.46 = 18.46 : x
  2. Step 2: Convert to fraction form
    20.02/27.46 = 18.46/x
  3. Step 3: Cross multiply
    20.02x = 27.46 × 18.46
  4. Step 4: Simplify right side
    20.02x = 506.91
  5. Step 5: Solve for x
    x = 506.91/20.02
  6. Step 6: Final answer
    x = 25.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.