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Finding the Fourth Proportional to 505.50, 758.27 and 369.55

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Solution

The fourth proportional to 505.50, 758.27 and 369.55 is: 554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.50 : 758.27 = 369.55 : x
  2. Step 2: Convert to fraction form
    505.50/758.27 = 369.55/x
  3. Step 3: Cross multiply
    505.50x = 758.27 × 369.55
  4. Step 4: Simplify right side
    505.50x = 280,218.68
  5. Step 5: Solve for x
    x = 280,218.68/505.50
  6. Step 6: Final answer
    x = 554.34

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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.