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Finding the Fourth Proportional to 450.42, 676.33 and 268.62

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Solution

The fourth proportional to 450.42, 676.33 and 268.62 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.42 : 676.33 = 268.62 : x
  2. Step 2: Convert to fraction form
    450.42/676.33 = 268.62/x
  3. Step 3: Cross multiply
    450.42x = 676.33 × 268.62
  4. Step 4: Simplify right side
    450.42x = 181,675.76
  5. Step 5: Solve for x
    x = 181,675.76/450.42
  6. Step 6: Final answer
    x = 403.35

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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.