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Finding the Fourth Proportional to 114.96, 157.66 and 112.98

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Solution

The fourth proportional to 114.96, 157.66 and 112.98 is: 154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 157.66 = 112.98 : x
  2. Step 2: Convert to fraction form
    114.96/157.66 = 112.98/x
  3. Step 3: Cross multiply
    114.96x = 157.66 × 112.98
  4. Step 4: Simplify right side
    114.96x = 17,812.43
  5. Step 5: Solve for x
    x = 17,812.43/114.96
  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.