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Finding the Fourth Proportional to 328.72, 452.70 and 327.73

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Solution

The fourth proportional to 328.72, 452.70 and 327.73 is: 451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.72 : 452.70 = 327.73 : x
  2. Step 2: Convert to fraction form
    328.72/452.70 = 327.73/x
  3. Step 3: Cross multiply
    328.72x = 452.70 × 327.73
  4. Step 4: Simplify right side
    328.72x = 148,363.37
  5. Step 5: Solve for x
    x = 148,363.37/328.72
  6. Step 6: Final answer
    x = 451.34

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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.