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Finding the Fourth Proportional to 114.54, 170.25 and 111.51

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Solution

The fourth proportional to 114.54, 170.25 and 111.51 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 170.25 = 111.51 : x
  2. Step 2: Convert to fraction form
    114.54/170.25 = 111.51/x
  3. Step 3: Cross multiply
    114.54x = 170.25 × 111.51
  4. Step 4: Simplify right side
    114.54x = 18,984.58
  5. Step 5: Solve for x
    x = 18,984.58/114.54
  6. Step 6: Final answer
    x = 165.75

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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.