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Finding the Fourth Proportional to 299.09, 445.96 and 293.63

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Solution

The fourth proportional to 299.09, 445.96 and 293.63 is: 437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 445.96 = 293.63 : x
  2. Step 2: Convert to fraction form
    299.09/445.96 = 293.63/x
  3. Step 3: Cross multiply
    299.09x = 445.96 × 293.63
  4. Step 4: Simplify right side
    299.09x = 130,943.72
  5. Step 5: Solve for x
    x = 130,943.72/299.09
  6. Step 6: Final answer
    x = 437.80

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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.