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Finding the Fourth Proportional to 488.01, 673.59 and 311

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Solution

The fourth proportional to 488.01, 673.59 and 311 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.01 : 673.59 = 311 : x
  2. Step 2: Convert to fraction form
    488.01/673.59 = 311/x
  3. Step 3: Cross multiply
    488.01x = 673.59 × 311
  4. Step 4: Simplify right side
    488.01x = 209,486.49
  5. Step 5: Solve for x
    x = 209,486.49/488.01
  6. Step 6: Final answer
    x = 429.27

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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.