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Finding the Fourth Proportional to 328.21, 452.78 and 197.14

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Solution

The fourth proportional to 328.21, 452.78 and 197.14 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.21 : 452.78 = 197.14 : x
  2. Step 2: Convert to fraction form
    328.21/452.78 = 197.14/x
  3. Step 3: Cross multiply
    328.21x = 452.78 × 197.14
  4. Step 4: Simplify right side
    328.21x = 89,261.05
  5. Step 5: Solve for x
    x = 89,261.05/328.21
  6. Step 6: Final answer
    x = 271.96

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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.