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Finding the Fourth Proportional to 202.80, 302.46 and 181.20

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Solution

The fourth proportional to 202.80, 302.46 and 181.20 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 302.46 = 181.20 : x
  2. Step 2: Convert to fraction form
    202.80/302.46 = 181.20/x
  3. Step 3: Cross multiply
    202.80x = 302.46 × 181.20
  4. Step 4: Simplify right side
    202.80x = 54,805.75
  5. Step 5: Solve for x
    x = 54,805.75/202.80
  6. Step 6: Final answer
    x = 270.25

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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.