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Finding the Fourth Proportional to 116.39, 159.21 and 114.60

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Solution

The fourth proportional to 116.39, 159.21 and 114.60 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 159.21 = 114.60 : x
  2. Step 2: Convert to fraction form
    116.39/159.21 = 114.60/x
  3. Step 3: Cross multiply
    116.39x = 159.21 × 114.60
  4. Step 4: Simplify right side
    116.39x = 18,245.47
  5. Step 5: Solve for x
    x = 18,245.47/116.39
  6. Step 6: Final answer
    x = 156.77

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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.