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Finding the Fourth Proportional to 328.73, 456.77 and 324.81

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Solution

The fourth proportional to 328.73, 456.77 and 324.81 is: 451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.73 : 456.77 = 324.81 : x
  2. Step 2: Convert to fraction form
    328.73/456.77 = 324.81/x
  3. Step 3: Cross multiply
    328.73x = 456.77 × 324.81
  4. Step 4: Simplify right side
    328.73x = 148,364.28
  5. Step 5: Solve for x
    x = 148,364.28/328.73
  6. Step 6: Final answer
    x = 451.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.