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Finding the Fourth Proportional to 480.44, 662.40 and 364.28

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Solution

The fourth proportional to 480.44, 662.40 and 364.28 is: 502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.44 : 662.40 = 364.28 : x
  2. Step 2: Convert to fraction form
    480.44/662.40 = 364.28/x
  3. Step 3: Cross multiply
    480.44x = 662.40 × 364.28
  4. Step 4: Simplify right side
    480.44x = 241,299.07
  5. Step 5: Solve for x
    x = 241,299.07/480.44
  6. Step 6: Final answer
    x = 502.25

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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.