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Finding the Fourth Proportional to 205.98, 282.42 and 202.38

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Solution

The fourth proportional to 205.98, 282.42 and 202.38 is: 277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 282.42 = 202.38 : x
  2. Step 2: Convert to fraction form
    205.98/282.42 = 202.38/x
  3. Step 3: Cross multiply
    205.98x = 282.42 × 202.38
  4. Step 4: Simplify right side
    205.98x = 57,156.16
  5. Step 5: Solve for x
    x = 57,156.16/205.98
  6. Step 6: Final answer
    x = 277.48

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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.