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Finding the Fourth Proportional to 20.57, 30.80 and 17.32

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Solution

The fourth proportional to 20.57, 30.80 and 17.32 is: 25.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 30.80 = 17.32 : x
  2. Step 2: Convert to fraction form
    20.57/30.80 = 17.32/x
  3. Step 3: Cross multiply
    20.57x = 30.80 × 17.32
  4. Step 4: Simplify right side
    20.57x = 533.42
  5. Step 5: Solve for x
    x = 533.42/20.57
  6. Step 6: Final answer
    x = 25.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.