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Finding the Fourth Proportional to 20.74, 31 and 16.38

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Solution

The fourth proportional to 20.74, 31 and 16.38 is: 24.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.74 : 31 = 16.38 : x
  2. Step 2: Convert to fraction form
    20.74/31 = 16.38/x
  3. Step 3: Cross multiply
    20.74x = 31 × 16.38
  4. Step 4: Simplify right side
    20.74x = 507.78
  5. Step 5: Solve for x
    x = 507.78/20.74
  6. Step 6: Final answer
    x = 24.48

Related Problems

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1.5x scale

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.