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Finding the Fourth Proportional to 328.56, 453.42 and 190.56

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Solution

The fourth proportional to 328.56, 453.42 and 190.56 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.56 : 453.42 = 190.56 : x
  2. Step 2: Convert to fraction form
    328.56/453.42 = 190.56/x
  3. Step 3: Cross multiply
    328.56x = 453.42 × 190.56
  4. Step 4: Simplify right side
    328.56x = 86,403.72
  5. Step 5: Solve for x
    x = 86,403.72/328.56
  6. Step 6: Final answer
    x = 262.98

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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.