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Finding the Fourth Proportional to 328.03, 449.47 and 323.17

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Solution

The fourth proportional to 328.03, 449.47 and 323.17 is: 442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.03 : 449.47 = 323.17 : x
  2. Step 2: Convert to fraction form
    328.03/449.47 = 323.17/x
  3. Step 3: Cross multiply
    328.03x = 449.47 × 323.17
  4. Step 4: Simplify right side
    328.03x = 145,252.68
  5. Step 5: Solve for x
    x = 145,252.68/328.03
  6. Step 6: Final answer
    x = 442.81

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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.