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Finding the Fourth Proportional to 20.32, 30.60 and 14.65

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Solution

The fourth proportional to 20.32, 30.60 and 14.65 is: 22.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.32 : 30.60 = 14.65 : x
  2. Step 2: Convert to fraction form
    20.32/30.60 = 14.65/x
  3. Step 3: Cross multiply
    20.32x = 30.60 × 14.65
  4. Step 4: Simplify right side
    20.32x = 448.27
  5. Step 5: Solve for x
    x = 448.27/20.32
  6. Step 6: Final answer
    x = 22.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.