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Finding the Fourth Proportional to 488.25, 673.60 and 299.11

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Solution

The fourth proportional to 488.25, 673.60 and 299.11 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 673.60 = 299.11 : x
  2. Step 2: Convert to fraction form
    488.25/673.60 = 299.11/x
  3. Step 3: Cross multiply
    488.25x = 673.60 × 299.11
  4. Step 4: Simplify right side
    488.25x = 201,480.50
  5. Step 5: Solve for x
    x = 201,480.50/488.25
  6. Step 6: Final answer
    x = 412.66

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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.