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Finding the Fourth Proportional to 205.29, 282.54 and 146.97

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Solution

The fourth proportional to 205.29, 282.54 and 146.97 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 282.54 = 146.97 : x
  2. Step 2: Convert to fraction form
    205.29/282.54 = 146.97/x
  3. Step 3: Cross multiply
    205.29x = 282.54 × 146.97
  4. Step 4: Simplify right side
    205.29x = 41,524.90
  5. Step 5: Solve for x
    x = 41,524.90/205.29
  6. Step 6: Final answer
    x = 202.27

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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.