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Finding the Fourth Proportional to 205.89, 307.89 and 176.73

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Solution

The fourth proportional to 205.89, 307.89 and 176.73 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 307.89 = 176.73 : x
  2. Step 2: Convert to fraction form
    205.89/307.89 = 176.73/x
  3. Step 3: Cross multiply
    205.89x = 307.89 × 176.73
  4. Step 4: Simplify right side
    205.89x = 54,413.40
  5. Step 5: Solve for x
    x = 54,413.40/205.89
  6. Step 6: Final answer
    x = 264.28

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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.