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Finding the Fourth Proportional to 20.60, 31.05 and 20.33

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Solution

The fourth proportional to 20.60, 31.05 and 20.33 is: 30.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.60 : 31.05 = 20.33 : x
  2. Step 2: Convert to fraction form
    20.60/31.05 = 20.33/x
  3. Step 3: Cross multiply
    20.60x = 31.05 × 20.33
  4. Step 4: Simplify right side
    20.60x = 631.09
  5. Step 5: Solve for x
    x = 631.09/20.60
  6. Step 6: Final answer
    x = 30.64

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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.