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Finding the Fourth Proportional to 488.26, 673.79 and 267.21

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Solution

The fourth proportional to 488.26, 673.79 and 267.21 is: 368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.26 : 673.79 = 267.21 : x
  2. Step 2: Convert to fraction form
    488.26/673.79 = 267.21/x
  3. Step 3: Cross multiply
    488.26x = 673.79 × 267.21
  4. Step 4: Simplify right side
    488.26x = 180,039.90
  5. Step 5: Solve for x
    x = 180,039.90/488.26
  6. Step 6: Final answer
    x = 368.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.