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Finding the Fourth Proportional to 116.95, 174.21 and 114.42

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Solution

The fourth proportional to 116.95, 174.21 and 114.42 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.95 : 174.21 = 114.42 : x
  2. Step 2: Convert to fraction form
    116.95/174.21 = 114.42/x
  3. Step 3: Cross multiply
    116.95x = 174.21 × 114.42
  4. Step 4: Simplify right side
    116.95x = 19,932.37
  5. Step 5: Solve for x
    x = 19,932.37/116.95
  6. Step 6: Final answer
    x = 170.43

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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.