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Finding the Fourth Proportional to 300.96, 449.28 and 237.12

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Solution

The fourth proportional to 300.96, 449.28 and 237.12 is: 353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 449.28 = 237.12 : x
  2. Step 2: Convert to fraction form
    300.96/449.28 = 237.12/x
  3. Step 3: Cross multiply
    300.96x = 449.28 × 237.12
  4. Step 4: Simplify right side
    300.96x = 106,533.27
  5. Step 5: Solve for x
    x = 106,533.27/300.96
  6. Step 6: Final answer
    x = 353.98

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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.