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Finding the Fourth Proportional to 366.98, 550.52 and 135.84

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Solution

The fourth proportional to 366.98, 550.52 and 135.84 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.98 : 550.52 = 135.84 : x
  2. Step 2: Convert to fraction form
    366.98/550.52 = 135.84/x
  3. Step 3: Cross multiply
    366.98x = 550.52 × 135.84
  4. Step 4: Simplify right side
    366.98x = 74,782.64
  5. Step 5: Solve for x
    x = 74,782.64/366.98
  6. Step 6: Final answer
    x = 203.78

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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.