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Finding the Fourth Proportional to 300.28, 448.29 and 274.32

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Solution

The fourth proportional to 300.28, 448.29 and 274.32 is: 409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 448.29 = 274.32 : x
  2. Step 2: Convert to fraction form
    300.28/448.29 = 274.32/x
  3. Step 3: Cross multiply
    300.28x = 448.29 × 274.32
  4. Step 4: Simplify right side
    300.28x = 122,974.91
  5. Step 5: Solve for x
    x = 122,974.91/300.28
  6. Step 6: Final answer
    x = 409.53

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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.