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Finding the Fourth Proportional to 328.34, 450.18 and 324.22

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Solution

The fourth proportional to 328.34, 450.18 and 324.22 is: 444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.34 : 450.18 = 324.22 : x
  2. Step 2: Convert to fraction form
    328.34/450.18 = 324.22/x
  3. Step 3: Cross multiply
    328.34x = 450.18 × 324.22
  4. Step 4: Simplify right side
    328.34x = 145,957.36
  5. Step 5: Solve for x
    x = 145,957.36/328.34
  6. Step 6: Final answer
    x = 444.53

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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.