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Finding the Fourth Proportional to 328.30, 452.88 and 197.23

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Solution

The fourth proportional to 328.30, 452.88 and 197.23 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 452.88 = 197.23 : x
  2. Step 2: Convert to fraction form
    328.30/452.88 = 197.23/x
  3. Step 3: Cross multiply
    328.30x = 452.88 × 197.23
  4. Step 4: Simplify right side
    328.30x = 89,321.52
  5. Step 5: Solve for x
    x = 89,321.52/328.30
  6. Step 6: Final answer
    x = 272.07

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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.