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Finding the Fourth Proportional to 114.76, 157.25 and 112.42

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Solution

The fourth proportional to 114.76, 157.25 and 112.42 is: 154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.76 : 157.25 = 112.42 : x
  2. Step 2: Convert to fraction form
    114.76/157.25 = 112.42/x
  3. Step 3: Cross multiply
    114.76x = 157.25 × 112.42
  4. Step 4: Simplify right side
    114.76x = 17,678.05
  5. Step 5: Solve for x
    x = 17,678.05/114.76
  6. Step 6: Final answer
    x = 154.04

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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.