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Finding the Fourth Proportional to 21.90, 32.66 and 20.60

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Solution

The fourth proportional to 21.90, 32.66 and 20.60 is: 30.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.90 : 32.66 = 20.60 : x
  2. Step 2: Convert to fraction form
    21.90/32.66 = 20.60/x
  3. Step 3: Cross multiply
    21.90x = 32.66 × 20.60
  4. Step 4: Simplify right side
    21.90x = 672.80
  5. Step 5: Solve for x
    x = 672.80/21.90
  6. Step 6: Final answer
    x = 30.72

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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.