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Finding the Fourth Proportional to 205.01, 282.09 and 189.51

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Solution

The fourth proportional to 205.01, 282.09 and 189.51 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.01 : 282.09 = 189.51 : x
  2. Step 2: Convert to fraction form
    205.01/282.09 = 189.51/x
  3. Step 3: Cross multiply
    205.01x = 282.09 × 189.51
  4. Step 4: Simplify right side
    205.01x = 53,458.88
  5. Step 5: Solve for x
    x = 53,458.88/205.01
  6. Step 6: Final answer
    x = 260.77

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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.