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Finding the Fourth Proportional to 480.25, 662.36 and 309.85

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Solution

The fourth proportional to 480.25, 662.36 and 309.85 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.25 : 662.36 = 309.85 : x
  2. Step 2: Convert to fraction form
    480.25/662.36 = 309.85/x
  3. Step 3: Cross multiply
    480.25x = 662.36 × 309.85
  4. Step 4: Simplify right side
    480.25x = 205,231.36
  5. Step 5: Solve for x
    x = 205,231.36/480.25
  6. Step 6: Final answer
    x = 427.34

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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.