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Finding the Fourth Proportional to 488.34, 673.71 and 311.36

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Solution

The fourth proportional to 488.34, 673.71 and 311.36 is: 429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 673.71 = 311.36 : x
  2. Step 2: Convert to fraction form
    488.34/673.71 = 311.36/x
  3. Step 3: Cross multiply
    488.34x = 673.71 × 311.36
  4. Step 4: Simplify right side
    488.34x = 209,762.98
  5. Step 5: Solve for x
    x = 209,762.98/488.34
  6. Step 6: Final answer
    x = 429.54

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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.