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Finding the Fourth Proportional to 300.78, 450.23 and 218.30

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Solution

The fourth proportional to 300.78, 450.23 and 218.30 is: 326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 450.23 = 218.30 : x
  2. Step 2: Convert to fraction form
    300.78/450.23 = 218.30/x
  3. Step 3: Cross multiply
    300.78x = 450.23 × 218.30
  4. Step 4: Simplify right side
    300.78x = 98,281.87
  5. Step 5: Solve for x
    x = 98,281.87/300.78
  6. Step 6: Final answer
    x = 326.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.