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Finding the Fourth Proportional to 362.80, 541.90 and 311.59

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Solution

The fourth proportional to 362.80, 541.90 and 311.59 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.80 : 541.90 = 311.59 : x
  2. Step 2: Convert to fraction form
    362.80/541.90 = 311.59/x
  3. Step 3: Cross multiply
    362.80x = 541.90 × 311.59
  4. Step 4: Simplify right side
    362.80x = 168,850.62
  5. Step 5: Solve for x
    x = 168,850.62/362.80
  6. Step 6: Final answer
    x = 465.41

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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.