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Finding the Fourth Proportional to 20.74, 30.98 and 17.75

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Solution

The fourth proportional to 20.74, 30.98 and 17.75 is: 26.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.74 : 30.98 = 17.75 : x
  2. Step 2: Convert to fraction form
    20.74/30.98 = 17.75/x
  3. Step 3: Cross multiply
    20.74x = 30.98 × 17.75
  4. Step 4: Simplify right side
    20.74x = 549.90
  5. Step 5: Solve for x
    x = 549.90/20.74
  6. Step 6: Final answer
    x = 26.51

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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.