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Finding the Fourth Proportional to 114.96, 171.57 and 112.23

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Solution

The fourth proportional to 114.96, 171.57 and 112.23 is: 167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 171.57 = 112.23 : x
  2. Step 2: Convert to fraction form
    114.96/171.57 = 112.23/x
  3. Step 3: Cross multiply
    114.96x = 171.57 × 112.23
  4. Step 4: Simplify right side
    114.96x = 19,255.30
  5. Step 5: Solve for x
    x = 19,255.30/114.96
  6. Step 6: Final answer
    x = 167.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.