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Finding the Fourth Proportional to 433.35, 648.99 and 311.22

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Solution

The fourth proportional to 433.35, 648.99 and 311.22 is: 466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 648.99 = 311.22 : x
  2. Step 2: Convert to fraction form
    433.35/648.99 = 311.22/x
  3. Step 3: Cross multiply
    433.35x = 648.99 × 311.22
  4. Step 4: Simplify right side
    433.35x = 201,978.67
  5. Step 5: Solve for x
    x = 201,978.67/433.35
  6. Step 6: Final answer
    x = 466.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.