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Finding the Fourth Proportional to 116.58, 159.99 and 104.36

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Solution

The fourth proportional to 116.58, 159.99 and 104.36 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 159.99 = 104.36 : x
  2. Step 2: Convert to fraction form
    116.58/159.99 = 104.36/x
  3. Step 3: Cross multiply
    116.58x = 159.99 × 104.36
  4. Step 4: Simplify right side
    116.58x = 16,696.96
  5. Step 5: Solve for x
    x = 16,696.96/116.58
  6. Step 6: Final answer
    x = 143.22

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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.