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Finding the Fourth Proportional to 105.30, 158.09 and 66.83

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Solution

The fourth proportional to 105.30, 158.09 and 66.83 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 158.09 = 66.83 : x
  2. Step 2: Convert to fraction form
    105.30/158.09 = 66.83/x
  3. Step 3: Cross multiply
    105.30x = 158.09 × 66.83
  4. Step 4: Simplify right side
    105.30x = 10,564.03
  5. Step 5: Solve for x
    x = 10,564.03/105.30
  6. Step 6: Final answer
    x = 100.32

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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.