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Finding the Fourth Proportional to 202.98, 278.92 and 167.96

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Solution

The fourth proportional to 202.98, 278.92 and 167.96 is: 230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 278.92 = 167.96 : x
  2. Step 2: Convert to fraction form
    202.98/278.92 = 167.96/x
  3. Step 3: Cross multiply
    202.98x = 278.92 × 167.96
  4. Step 4: Simplify right side
    202.98x = 46,847.40
  5. Step 5: Solve for x
    x = 46,847.40/202.98
  6. Step 6: Final answer
    x = 230.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.