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Finding the Fourth Proportional to 450.66, 675.29 and 267.96

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Solution

The fourth proportional to 450.66, 675.29 and 267.96 is: 401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.66 : 675.29 = 267.96 : x
  2. Step 2: Convert to fraction form
    450.66/675.29 = 267.96/x
  3. Step 3: Cross multiply
    450.66x = 675.29 × 267.96
  4. Step 4: Simplify right side
    450.66x = 180,948.60
  5. Step 5: Solve for x
    x = 180,948.60/450.66
  6. Step 6: Final answer
    x = 401.52

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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.