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Finding the Fourth Proportional to 323.24, 482.02 and 320.31

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Solution

The fourth proportional to 323.24, 482.02 and 320.31 is: 477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.24 : 482.02 = 320.31 : x
  2. Step 2: Convert to fraction form
    323.24/482.02 = 320.31/x
  3. Step 3: Cross multiply
    323.24x = 482.02 × 320.31
  4. Step 4: Simplify right side
    323.24x = 154,395.83
  5. Step 5: Solve for x
    x = 154,395.83/323.24
  6. Step 6: Final answer
    x = 477.65

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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.