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Finding the Fourth Proportional to 202.86, 303.09 and 168.23

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Solution

The fourth proportional to 202.86, 303.09 and 168.23 is: 251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 303.09 = 168.23 : x
  2. Step 2: Convert to fraction form
    202.86/303.09 = 168.23/x
  3. Step 3: Cross multiply
    202.86x = 303.09 × 168.23
  4. Step 4: Simplify right side
    202.86x = 50,988.96
  5. Step 5: Solve for x
    x = 50,988.96/202.86
  6. Step 6: Final answer
    x = 251.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.