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Finding the Fourth Proportional to 205.12, 306.76 and 185.98

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Solution

The fourth proportional to 205.12, 306.76 and 185.98 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.12 : 306.76 = 185.98 : x
  2. Step 2: Convert to fraction form
    205.12/306.76 = 185.98/x
  3. Step 3: Cross multiply
    205.12x = 306.76 × 185.98
  4. Step 4: Simplify right side
    205.12x = 57,051.22
  5. Step 5: Solve for x
    x = 57,051.22/205.12
  6. Step 6: Final answer
    x = 278.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.