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Finding the Fourth Proportional to 368.36, 552.12 and 213.98

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Solution

The fourth proportional to 368.36, 552.12 and 213.98 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.36 : 552.12 = 213.98 : x
  2. Step 2: Convert to fraction form
    368.36/552.12 = 213.98/x
  3. Step 3: Cross multiply
    368.36x = 552.12 × 213.98
  4. Step 4: Simplify right side
    368.36x = 118,142.64
  5. Step 5: Solve for x
    x = 118,142.64/368.36
  6. Step 6: Final answer
    x = 320.73

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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.