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Finding the Fourth Proportional to 362.92, 541.82 and 328.90

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Solution

The fourth proportional to 362.92, 541.82 and 328.90 is: 491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.92 : 541.82 = 328.90 : x
  2. Step 2: Convert to fraction form
    362.92/541.82 = 328.90/x
  3. Step 3: Cross multiply
    362.92x = 541.82 × 328.90
  4. Step 4: Simplify right side
    362.92x = 178,204.60
  5. Step 5: Solve for x
    x = 178,204.60/362.92
  6. Step 6: Final answer
    x = 491.03

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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.