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Finding the Fourth Proportional to 202.86, 280.21 and 168.03

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Solution

The fourth proportional to 202.86, 280.21 and 168.03 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 280.21 = 168.03 : x
  2. Step 2: Convert to fraction form
    202.86/280.21 = 168.03/x
  3. Step 3: Cross multiply
    202.86x = 280.21 × 168.03
  4. Step 4: Simplify right side
    202.86x = 47,083.69
  5. Step 5: Solve for x
    x = 47,083.69/202.86
  6. Step 6: Final answer
    x = 232.10

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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.