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Finding the Fourth Proportional to 323.14, 485.17 and 283.05

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Solution

The fourth proportional to 323.14, 485.17 and 283.05 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.14 : 485.17 = 283.05 : x
  2. Step 2: Convert to fraction form
    323.14/485.17 = 283.05/x
  3. Step 3: Cross multiply
    323.14x = 485.17 × 283.05
  4. Step 4: Simplify right side
    323.14x = 137,327.37
  5. Step 5: Solve for x
    x = 137,327.37/323.14
  6. Step 6: Final answer
    x = 424.98

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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.