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Finding the Fourth Proportional to 205.05, 306.86 and 127.47

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Solution

The fourth proportional to 205.05, 306.86 and 127.47 is: 190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 306.86 = 127.47 : x
  2. Step 2: Convert to fraction form
    205.05/306.86 = 127.47/x
  3. Step 3: Cross multiply
    205.05x = 306.86 × 127.47
  4. Step 4: Simplify right side
    205.05x = 39,114.81
  5. Step 5: Solve for x
    x = 39,114.81/205.05
  6. Step 6: Final answer
    x = 190.76

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