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Finding the Fourth Proportional to 21.98, 33.14 and 20.68

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Solution

The fourth proportional to 21.98, 33.14 and 20.68 is: 31.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.98 : 33.14 = 20.68 : x
  2. Step 2: Convert to fraction form
    21.98/33.14 = 20.68/x
  3. Step 3: Cross multiply
    21.98x = 33.14 × 20.68
  4. Step 4: Simplify right side
    21.98x = 685.34
  5. Step 5: Solve for x
    x = 685.34/21.98
  6. Step 6: Final answer
    x = 31.18

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1.5x scale

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.