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Finding the Fourth Proportional to 299.81, 448.37 and 245.27

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Solution

The fourth proportional to 299.81, 448.37 and 245.27 is: 366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.81 : 448.37 = 245.27 : x
  2. Step 2: Convert to fraction form
    299.81/448.37 = 245.27/x
  3. Step 3: Cross multiply
    299.81x = 448.37 × 245.27
  4. Step 4: Simplify right side
    299.81x = 109,970.48
  5. Step 5: Solve for x
    x = 109,970.48/299.81
  6. Step 6: Final answer
    x = 366.80

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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.