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Finding the Fourth Proportional to 300.56, 448.16 and 300.16

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Solution

The fourth proportional to 300.56, 448.16 and 300.16 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 448.16 = 300.16 : x
  2. Step 2: Convert to fraction form
    300.56/448.16 = 300.16/x
  3. Step 3: Cross multiply
    300.56x = 448.16 × 300.16
  4. Step 4: Simplify right side
    300.56x = 134,515.96
  5. Step 5: Solve for x
    x = 134,515.96/300.56
  6. Step 6: Final answer
    x = 447.55

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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.