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Finding the Fourth Proportional to 328.61, 450.24 and 324.27

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Solution

The fourth proportional to 328.61, 450.24 and 324.27 is: 444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.61 : 450.24 = 324.27 : x
  2. Step 2: Convert to fraction form
    328.61/450.24 = 324.27/x
  3. Step 3: Cross multiply
    328.61x = 450.24 × 324.27
  4. Step 4: Simplify right side
    328.61x = 145,999.32
  5. Step 5: Solve for x
    x = 145,999.32/328.61
  6. Step 6: Final answer
    x = 444.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.