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Finding the Fourth Proportional to 325.38, 485.85 and 283.46

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Solution

The fourth proportional to 325.38, 485.85 and 283.46 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 485.85 = 283.46 : x
  2. Step 2: Convert to fraction form
    325.38/485.85 = 283.46/x
  3. Step 3: Cross multiply
    325.38x = 485.85 × 283.46
  4. Step 4: Simplify right side
    325.38x = 137,716.61
  5. Step 5: Solve for x
    x = 137,716.61/325.38
  6. Step 6: Final answer
    x = 423.25

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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.