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Finding the Fourth Proportional to 328.59, 491.47 and 273.78

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Solution

The fourth proportional to 328.59, 491.47 and 273.78 is: 409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.59 : 491.47 = 273.78 : x
  2. Step 2: Convert to fraction form
    328.59/491.47 = 273.78/x
  3. Step 3: Cross multiply
    328.59x = 491.47 × 273.78
  4. Step 4: Simplify right side
    328.59x = 134,553.97
  5. Step 5: Solve for x
    x = 134,553.97/328.59
  6. Step 6: Final answer
    x = 409.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.