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Finding the Fourth Proportional to 470.33, 648.36 and 330.02

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Solution

The fourth proportional to 470.33, 648.36 and 330.02 is: 454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 648.36 = 330.02 : x
  2. Step 2: Convert to fraction form
    470.33/648.36 = 330.02/x
  3. Step 3: Cross multiply
    470.33x = 648.36 × 330.02
  4. Step 4: Simplify right side
    470.33x = 213,971.77
  5. Step 5: Solve for x
    x = 213,971.77/470.33
  6. Step 6: Final answer
    x = 454.94

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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.