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Finding the Fourth Proportional to 380.09, 523.99 and 321.32

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Solution

The fourth proportional to 380.09, 523.99 and 321.32 is: 442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 523.99 = 321.32 : x
  2. Step 2: Convert to fraction form
    380.09/523.99 = 321.32/x
  3. Step 3: Cross multiply
    380.09x = 523.99 × 321.32
  4. Step 4: Simplify right side
    380.09x = 168,368.47
  5. Step 5: Solve for x
    x = 168,368.47/380.09
  6. Step 6: Final answer
    x = 442.97

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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.