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Finding the Fourth Proportional to 299.45, 448.38 and 201.80

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Solution

The fourth proportional to 299.45, 448.38 and 201.80 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.45 : 448.38 = 201.80 : x
  2. Step 2: Convert to fraction form
    299.45/448.38 = 201.80/x
  3. Step 3: Cross multiply
    299.45x = 448.38 × 201.80
  4. Step 4: Simplify right side
    299.45x = 90,483.08
  5. Step 5: Solve for x
    x = 90,483.08/299.45
  6. Step 6: Final answer
    x = 302.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.