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Finding the Fourth Proportional to 206.01, 282.60 and 189.59

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Solution

The fourth proportional to 206.01, 282.60 and 189.59 is: 260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 282.60 = 189.59 : x
  2. Step 2: Convert to fraction form
    206.01/282.60 = 189.59/x
  3. Step 3: Cross multiply
    206.01x = 282.60 × 189.59
  4. Step 4: Simplify right side
    206.01x = 53,576.72
  5. Step 5: Solve for x
    x = 53,576.72/206.01
  6. Step 6: Final answer
    x = 260.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.