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Finding the Fourth Proportional to 450.06, 676.31 and 244.78

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Solution

The fourth proportional to 450.06, 676.31 and 244.78 is: 367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 676.31 = 244.78 : x
  2. Step 2: Convert to fraction form
    450.06/676.31 = 244.78/x
  3. Step 3: Cross multiply
    450.06x = 676.31 × 244.78
  4. Step 4: Simplify right side
    450.06x = 165,547.16
  5. Step 5: Solve for x
    x = 165,547.16/450.06
  6. Step 6: Final answer
    x = 367.83

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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.