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Finding the Fourth Proportional to 299.38, 445.27 and 293.23

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Solution

The fourth proportional to 299.38, 445.27 and 293.23 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.38 : 445.27 = 293.23 : x
  2. Step 2: Convert to fraction form
    299.38/445.27 = 293.23/x
  3. Step 3: Cross multiply
    299.38x = 445.27 × 293.23
  4. Step 4: Simplify right side
    299.38x = 130,566.52
  5. Step 5: Solve for x
    x = 130,566.52/299.38
  6. Step 6: Final answer
    x = 436.12

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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.