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Finding the Fourth Proportional to 368.36, 552.38 and 214.44

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Solution

The fourth proportional to 368.36, 552.38 and 214.44 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.36 : 552.38 = 214.44 : x
  2. Step 2: Convert to fraction form
    368.36/552.38 = 214.44/x
  3. Step 3: Cross multiply
    368.36x = 552.38 × 214.44
  4. Step 4: Simplify right side
    368.36x = 118,452.37
  5. Step 5: Solve for x
    x = 118,452.37/368.36
  6. Step 6: Final answer
    x = 321.57

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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.