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Finding the Fourth Proportional to 450.88, 676.08 and 277.12

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Solution

The fourth proportional to 450.88, 676.08 and 277.12 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.88 : 676.08 = 277.12 : x
  2. Step 2: Convert to fraction form
    450.88/676.08 = 277.12/x
  3. Step 3: Cross multiply
    450.88x = 676.08 × 277.12
  4. Step 4: Simplify right side
    450.88x = 187,355.29
  5. Step 5: Solve for x
    x = 187,355.29/450.88
  6. Step 6: Final answer
    x = 415.53

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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.