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Finding the Fourth Proportional to 116.31, 159.63 and 105.33

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Solution

The fourth proportional to 116.31, 159.63 and 105.33 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.31 : 159.63 = 105.33 : x
  2. Step 2: Convert to fraction form
    116.31/159.63 = 105.33/x
  3. Step 3: Cross multiply
    116.31x = 159.63 × 105.33
  4. Step 4: Simplify right side
    116.31x = 16,813.83
  5. Step 5: Solve for x
    x = 16,813.83/116.31
  6. Step 6: Final answer
    x = 144.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.