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Finding the Fourth Proportional to 327.07, 453.28 and 320.93

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Solution

The fourth proportional to 327.07, 453.28 and 320.93 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 453.28 = 320.93 : x
  2. Step 2: Convert to fraction form
    327.07/453.28 = 320.93/x
  3. Step 3: Cross multiply
    327.07x = 453.28 × 320.93
  4. Step 4: Simplify right side
    327.07x = 145,471.15
  5. Step 5: Solve for x
    x = 145,471.15/327.07
  6. Step 6: Final answer
    x = 444.77

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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.