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Finding the Fourth Proportional to 114.69, 159.01 and 108.54

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Solution

The fourth proportional to 114.69, 159.01 and 108.54 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.69 : 159.01 = 108.54 : x
  2. Step 2: Convert to fraction form
    114.69/159.01 = 108.54/x
  3. Step 3: Cross multiply
    114.69x = 159.01 × 108.54
  4. Step 4: Simplify right side
    114.69x = 17,258.67
  5. Step 5: Solve for x
    x = 17,258.67/114.69
  6. Step 6: Final answer
    x = 150.48

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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.