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Finding the Fourth Proportional to 366.09, 548.74 and 146.56

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Solution

The fourth proportional to 366.09, 548.74 and 146.56 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.09 : 548.74 = 146.56 : x
  2. Step 2: Convert to fraction form
    366.09/548.74 = 146.56/x
  3. Step 3: Cross multiply
    366.09x = 548.74 × 146.56
  4. Step 4: Simplify right side
    366.09x = 80,423.33
  5. Step 5: Solve for x
    x = 80,423.33/366.09
  6. Step 6: Final answer
    x = 219.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.