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Finding the Fourth Proportional to 114.92, 157.74 and 112.88

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Solution

The fourth proportional to 114.92, 157.74 and 112.88 is: 154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 157.74 = 112.88 : x
  2. Step 2: Convert to fraction form
    114.92/157.74 = 112.88/x
  3. Step 3: Cross multiply
    114.92x = 157.74 × 112.88
  4. Step 4: Simplify right side
    114.92x = 17,805.69
  5. Step 5: Solve for x
    x = 17,805.69/114.92
  6. Step 6: Final answer
    x = 154.94

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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.