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Finding the Fourth Proportional to 28.34, 39.06 and 20.17

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Solution

The fourth proportional to 28.34, 39.06 and 20.17 is: 27.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 39.06 = 20.17 : x
  2. Step 2: Convert to fraction form
    28.34/39.06 = 20.17/x
  3. Step 3: Cross multiply
    28.34x = 39.06 × 20.17
  4. Step 4: Simplify right side
    28.34x = 787.64
  5. Step 5: Solve for x
    x = 787.64/28.34
  6. Step 6: Final answer
    x = 27.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.