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Finding the Fourth Proportional to 114.15, 157.39 and 92.05

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Solution

The fourth proportional to 114.15, 157.39 and 92.05 is: 126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.15 : 157.39 = 92.05 : x
  2. Step 2: Convert to fraction form
    114.15/157.39 = 92.05/x
  3. Step 3: Cross multiply
    114.15x = 157.39 × 92.05
  4. Step 4: Simplify right side
    114.15x = 14,487.64
  5. Step 5: Solve for x
    x = 14,487.64/114.15
  6. Step 6: Final answer
    x = 126.91

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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.