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Finding the Fourth Proportional to 204.86, 283.43 and 173.67

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Solution

The fourth proportional to 204.86, 283.43 and 173.67 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 283.43 = 173.67 : x
  2. Step 2: Convert to fraction form
    204.86/283.43 = 173.67/x
  3. Step 3: Cross multiply
    204.86x = 283.43 × 173.67
  4. Step 4: Simplify right side
    204.86x = 49,223.29
  5. Step 5: Solve for x
    x = 49,223.29/204.86
  6. Step 6: Final answer
    x = 240.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.