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Finding the Fourth Proportional to 328.46, 453.34 and 197.48

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Solution

The fourth proportional to 328.46, 453.34 and 197.48 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.46 : 453.34 = 197.48 : x
  2. Step 2: Convert to fraction form
    328.46/453.34 = 197.48/x
  3. Step 3: Cross multiply
    328.46x = 453.34 × 197.48
  4. Step 4: Simplify right side
    328.46x = 89,525.58
  5. Step 5: Solve for x
    x = 89,525.58/328.46
  6. Step 6: Final answer
    x = 272.56

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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.