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Finding the Fourth Proportional to 114.95, 171.54 and 112.23

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Solution

The fourth proportional to 114.95, 171.54 and 112.23 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.95 : 171.54 = 112.23 : x
  2. Step 2: Convert to fraction form
    114.95/171.54 = 112.23/x
  3. Step 3: Cross multiply
    114.95x = 171.54 × 112.23
  4. Step 4: Simplify right side
    114.95x = 19,251.93
  5. Step 5: Solve for x
    x = 19,251.93/114.95
  6. Step 6: Final answer
    x = 167.48

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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.