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Finding the Fourth Proportional to 328.47, 453.38 and 197.66

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Solution

The fourth proportional to 328.47, 453.38 and 197.66 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.47 : 453.38 = 197.66 : x
  2. Step 2: Convert to fraction form
    328.47/453.38 = 197.66/x
  3. Step 3: Cross multiply
    328.47x = 453.38 × 197.66
  4. Step 4: Simplify right side
    328.47x = 89,611.84
  5. Step 5: Solve for x
    x = 89,611.84/328.47
  6. Step 6: Final answer
    x = 272.82

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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.