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Finding the Fourth Proportional to 205.54, 306.80 and 185.98

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Solution

The fourth proportional to 205.54, 306.80 and 185.98 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 306.80 = 185.98 : x
  2. Step 2: Convert to fraction form
    205.54/306.80 = 185.98/x
  3. Step 3: Cross multiply
    205.54x = 306.80 × 185.98
  4. Step 4: Simplify right side
    205.54x = 57,058.66
  5. Step 5: Solve for x
    x = 57,058.66/205.54
  6. Step 6: Final answer
    x = 277.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.