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Finding the Fourth Proportional to 366.56, 546.72 and 329.84

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Solution

The fourth proportional to 366.56, 546.72 and 329.84 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.56 : 546.72 = 329.84 : x
  2. Step 2: Convert to fraction form
    366.56/546.72 = 329.84/x
  3. Step 3: Cross multiply
    366.56x = 546.72 × 329.84
  4. Step 4: Simplify right side
    366.56x = 180,330.12
  5. Step 5: Solve for x
    x = 180,330.12/366.56
  6. Step 6: Final answer
    x = 491.95

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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.