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Finding the Fourth Proportional to 323.22, 482.44 and 315.45

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Solution

The fourth proportional to 323.22, 482.44 and 315.45 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.22 : 482.44 = 315.45 : x
  2. Step 2: Convert to fraction form
    323.22/482.44 = 315.45/x
  3. Step 3: Cross multiply
    323.22x = 482.44 × 315.45
  4. Step 4: Simplify right side
    323.22x = 152,185.70
  5. Step 5: Solve for x
    x = 152,185.70/323.22
  6. Step 6: Final answer
    x = 470.84

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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.