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Finding the Fourth Proportional to 328.76, 453.56 and 197.78

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Solution

The fourth proportional to 328.76, 453.56 and 197.78 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.76 : 453.56 = 197.78 : x
  2. Step 2: Convert to fraction form
    328.76/453.56 = 197.78/x
  3. Step 3: Cross multiply
    328.76x = 453.56 × 197.78
  4. Step 4: Simplify right side
    328.76x = 89,705.10
  5. Step 5: Solve for x
    x = 89,705.10/328.76
  6. Step 6: Final answer
    x = 272.86

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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.