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Finding the Fourth Proportional to 368.78, 552.57 and 214.83

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Solution

The fourth proportional to 368.78, 552.57 and 214.83 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.78 : 552.57 = 214.83 : x
  2. Step 2: Convert to fraction form
    368.78/552.57 = 214.83/x
  3. Step 3: Cross multiply
    368.78x = 552.57 × 214.83
  4. Step 4: Simplify right side
    368.78x = 118,709.60
  5. Step 5: Solve for x
    x = 118,709.60/368.78
  6. Step 6: Final answer
    x = 321.90

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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.