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Finding the Fourth Proportional to 323.82, 485.13 and 287.37

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Solution

The fourth proportional to 323.82, 485.13 and 287.37 is: 430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 485.13 = 287.37 : x
  2. Step 2: Convert to fraction form
    323.82/485.13 = 287.37/x
  3. Step 3: Cross multiply
    323.82x = 485.13 × 287.37
  4. Step 4: Simplify right side
    323.82x = 139,411.81
  5. Step 5: Solve for x
    x = 139,411.81/323.82
  6. Step 6: Final answer
    x = 430.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.