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Finding the Fourth Proportional to 466.90, 700.46 and 330.21

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Solution

The fourth proportional to 466.90, 700.46 and 330.21 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.90 : 700.46 = 330.21 : x
  2. Step 2: Convert to fraction form
    466.90/700.46 = 330.21/x
  3. Step 3: Cross multiply
    466.90x = 700.46 × 330.21
  4. Step 4: Simplify right side
    466.90x = 231,295.49
  5. Step 5: Solve for x
    x = 231,295.49/466.90
  6. Step 6: Final answer
    x = 495.39

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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.