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Finding the Fourth Proportional to 433.18, 648.54 and 330.88

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Solution

The fourth proportional to 433.18, 648.54 and 330.88 is: 495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.18 : 648.54 = 330.88 : x
  2. Step 2: Convert to fraction form
    433.18/648.54 = 330.88/x
  3. Step 3: Cross multiply
    433.18x = 648.54 × 330.88
  4. Step 4: Simplify right side
    433.18x = 214,588.92
  5. Step 5: Solve for x
    x = 214,588.92/433.18
  6. Step 6: Final answer
    x = 495.38

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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.