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Finding the Fourth Proportional to 205.90, 308.91 and 61.62

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Solution

The fourth proportional to 205.90, 308.91 and 61.62 is: 92.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 308.91 = 61.62 : x
  2. Step 2: Convert to fraction form
    205.90/308.91 = 61.62/x
  3. Step 3: Cross multiply
    205.90x = 308.91 × 61.62
  4. Step 4: Simplify right side
    205.90x = 19,035.27
  5. Step 5: Solve for x
    x = 19,035.27/205.90
  6. Step 6: Final answer
    x = 92.45

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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.