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Finding the Fourth Proportional to 200.46, 298.98 and 181.02

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Solution

The fourth proportional to 200.46, 298.98 and 181.02 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 298.98 = 181.02 : x
  2. Step 2: Convert to fraction form
    200.46/298.98 = 181.02/x
  3. Step 3: Cross multiply
    200.46x = 298.98 × 181.02
  4. Step 4: Simplify right side
    200.46x = 54,121.36
  5. Step 5: Solve for x
    x = 54,121.36/200.46
  6. Step 6: Final answer
    x = 269.99

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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.