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Finding the Fourth Proportional to 200.45, 298.95 and 181.01

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Solution

The fourth proportional to 200.45, 298.95 and 181.01 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 298.95 = 181.01 : x
  2. Step 2: Convert to fraction form
    200.45/298.95 = 181.01/x
  3. Step 3: Cross multiply
    200.45x = 298.95 × 181.01
  4. Step 4: Simplify right side
    200.45x = 54,112.94
  5. Step 5: Solve for x
    x = 54,112.94/200.45
  6. Step 6: Final answer
    x = 269.96

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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.