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Finding the Fourth Proportional to 116.25, 161.54 and 114.99

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Solution

The fourth proportional to 116.25, 161.54 and 114.99 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 161.54 = 114.99 : x
  2. Step 2: Convert to fraction form
    116.25/161.54 = 114.99/x
  3. Step 3: Cross multiply
    116.25x = 161.54 × 114.99
  4. Step 4: Simplify right side
    116.25x = 18,574.90
  5. Step 5: Solve for x
    x = 18,574.90/116.25
  6. Step 6: Final answer
    x = 159.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.