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Finding the Fourth Proportional to 202.90, 279.36 and 181.61

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Solution

The fourth proportional to 202.90, 279.36 and 181.61 is: 250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 279.36 = 181.61 : x
  2. Step 2: Convert to fraction form
    202.90/279.36 = 181.61/x
  3. Step 3: Cross multiply
    202.90x = 279.36 × 181.61
  4. Step 4: Simplify right side
    202.90x = 50,733.17
  5. Step 5: Solve for x
    x = 50,733.17/202.90
  6. Step 6: Final answer
    x = 250.04

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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.