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Finding the Fourth Proportional to 366.03, 546.77 and 329.41

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Solution

The fourth proportional to 366.03, 546.77 and 329.41 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.03 : 546.77 = 329.41 : x
  2. Step 2: Convert to fraction form
    366.03/546.77 = 329.41/x
  3. Step 3: Cross multiply
    366.03x = 546.77 × 329.41
  4. Step 4: Simplify right side
    366.03x = 180,113.01
  5. Step 5: Solve for x
    x = 180,113.01/366.03
  6. Step 6: Final answer
    x = 492.07

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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.