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Finding the Fourth Proportional to 202.24, 305.04 and 181.12

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Solution

The fourth proportional to 202.24, 305.04 and 181.12 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 305.04 = 181.12 : x
  2. Step 2: Convert to fraction form
    202.24/305.04 = 181.12/x
  3. Step 3: Cross multiply
    202.24x = 305.04 × 181.12
  4. Step 4: Simplify right side
    202.24x = 55,248.84
  5. Step 5: Solve for x
    x = 55,248.84/202.24
  6. Step 6: Final answer
    x = 273.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.