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Finding the Fourth Proportional to 114.22, 157.62 and 66.94

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Solution

The fourth proportional to 114.22, 157.62 and 66.94 is: 92.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 157.62 = 66.94 : x
  2. Step 2: Convert to fraction form
    114.22/157.62 = 66.94/x
  3. Step 3: Cross multiply
    114.22x = 157.62 × 66.94
  4. Step 4: Simplify right side
    114.22x = 10,551.08
  5. Step 5: Solve for x
    x = 10,551.08/114.22
  6. Step 6: Final answer
    x = 92.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.