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Finding the Fourth Proportional to 380.36, 525.30 and 264.44

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Solution

The fourth proportional to 380.36, 525.30 and 264.44 is: 365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 525.30 = 264.44 : x
  2. Step 2: Convert to fraction form
    380.36/525.30 = 264.44/x
  3. Step 3: Cross multiply
    380.36x = 525.30 × 264.44
  4. Step 4: Simplify right side
    380.36x = 138,910.33
  5. Step 5: Solve for x
    x = 138,910.33/380.36
  6. Step 6: Final answer
    x = 365.21

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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.