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Finding the Fourth Proportional to 206.51, 285.01 and 119.23

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Solution

The fourth proportional to 206.51, 285.01 and 119.23 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 285.01 = 119.23 : x
  2. Step 2: Convert to fraction form
    206.51/285.01 = 119.23/x
  3. Step 3: Cross multiply
    206.51x = 285.01 × 119.23
  4. Step 4: Simplify right side
    206.51x = 33,982.37
  5. Step 5: Solve for x
    x = 33,982.37/206.51
  6. Step 6: Final answer
    x = 164.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.