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Finding the Fourth Proportional to 366.64, 550.02 and 123.14

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Solution

The fourth proportional to 366.64, 550.02 and 123.14 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.64 : 550.02 = 123.14 : x
  2. Step 2: Convert to fraction form
    366.64/550.02 = 123.14/x
  3. Step 3: Cross multiply
    366.64x = 550.02 × 123.14
  4. Step 4: Simplify right side
    366.64x = 67,729.46
  5. Step 5: Solve for x
    x = 67,729.46/366.64
  6. Step 6: Final answer
    x = 184.73

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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.