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Finding the Fourth Proportional to 116.18, 159.32 and 105.24

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Solution

The fourth proportional to 116.18, 159.32 and 105.24 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.18 : 159.32 = 105.24 : x
  2. Step 2: Convert to fraction form
    116.18/159.32 = 105.24/x
  3. Step 3: Cross multiply
    116.18x = 159.32 × 105.24
  4. Step 4: Simplify right side
    116.18x = 16,766.84
  5. Step 5: Solve for x
    x = 16,766.84/116.18
  6. Step 6: Final answer
    x = 144.32

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Why These Related Problems?

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