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Finding the Fourth Proportional to 328.91, 453.95 and 196.14

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Solution

The fourth proportional to 328.91, 453.95 and 196.14 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.91 : 453.95 = 196.14 : x
  2. Step 2: Convert to fraction form
    328.91/453.95 = 196.14/x
  3. Step 3: Cross multiply
    328.91x = 453.95 × 196.14
  4. Step 4: Simplify right side
    328.91x = 89,037.11
  5. Step 5: Solve for x
    x = 89,037.11/328.91
  6. Step 6: Final answer
    x = 270.70

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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.