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Finding the Fourth Proportional to 114.62, 170.97 and 107.06

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Solution

The fourth proportional to 114.62, 170.97 and 107.06 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 170.97 = 107.06 : x
  2. Step 2: Convert to fraction form
    114.62/170.97 = 107.06/x
  3. Step 3: Cross multiply
    114.62x = 170.97 × 107.06
  4. Step 4: Simplify right side
    114.62x = 18,303.51
  5. Step 5: Solve for x
    x = 18,303.51/114.62
  6. Step 6: Final answer
    x = 159.69

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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.