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Finding the Fourth Proportional to 488.21, 673.90 and 311.22

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Solution

The fourth proportional to 488.21, 673.90 and 311.22 is: 429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 673.90 = 311.22 : x
  2. Step 2: Convert to fraction form
    488.21/673.90 = 311.22/x
  3. Step 3: Cross multiply
    488.21x = 673.90 × 311.22
  4. Step 4: Simplify right side
    488.21x = 209,730.38
  5. Step 5: Solve for x
    x = 209,730.38/488.21
  6. Step 6: Final answer
    x = 429.59

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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.