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Finding the Fourth Proportional to 366.62, 550.23 and 193.40

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Solution

The fourth proportional to 366.62, 550.23 and 193.40 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.62 : 550.23 = 193.40 : x
  2. Step 2: Convert to fraction form
    366.62/550.23 = 193.40/x
  3. Step 3: Cross multiply
    366.62x = 550.23 × 193.40
  4. Step 4: Simplify right side
    366.62x = 106,412.61
  5. Step 5: Solve for x
    x = 106,412.61/366.62
  6. Step 6: Final answer
    x = 290.25

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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.