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Finding the Fourth Proportional to 323.84, 482.20 and 319.22

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Solution

The fourth proportional to 323.84, 482.20 and 319.22 is: 475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.84 : 482.20 = 319.22 : x
  2. Step 2: Convert to fraction form
    323.84/482.20 = 319.22/x
  3. Step 3: Cross multiply
    323.84x = 482.20 × 319.22
  4. Step 4: Simplify right side
    323.84x = 153,927.88
  5. Step 5: Solve for x
    x = 153,927.88/323.84
  6. Step 6: Final answer
    x = 475.32

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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.