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Finding the Fourth Proportional to 323.94, 483.86 and 305.22

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Solution

The fourth proportional to 323.94, 483.86 and 305.22 is: 455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 483.86 = 305.22 : x
  2. Step 2: Convert to fraction form
    323.94/483.86 = 305.22/x
  3. Step 3: Cross multiply
    323.94x = 483.86 × 305.22
  4. Step 4: Simplify right side
    323.94x = 147,682.22
  5. Step 5: Solve for x
    x = 147,682.22/323.94
  6. Step 6: Final answer
    x = 455.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.