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Finding the Fourth Proportional to 206.69, 285.21 and 119.36

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Solution

The fourth proportional to 206.69, 285.21 and 119.36 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 285.21 = 119.36 : x
  2. Step 2: Convert to fraction form
    206.69/285.21 = 119.36/x
  3. Step 3: Cross multiply
    206.69x = 285.21 × 119.36
  4. Step 4: Simplify right side
    206.69x = 34,041.24
  5. Step 5: Solve for x
    x = 34,041.24/206.69
  6. Step 6: Final answer
    x = 164.70

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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.