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Finding the Fourth Proportional to 366.61, 547.08 and 327.67

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Solution

The fourth proportional to 366.61, 547.08 and 327.67 is: 488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.61 : 547.08 = 327.67 : x
  2. Step 2: Convert to fraction form
    366.61/547.08 = 327.67/x
  3. Step 3: Cross multiply
    366.61x = 547.08 × 327.67
  4. Step 4: Simplify right side
    366.61x = 179,261.70
  5. Step 5: Solve for x
    x = 179,261.70/366.61
  6. Step 6: Final answer
    x = 488.97

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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.