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Finding the Fourth Proportional to 366.44, 509.23 and 361.85

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Solution

The fourth proportional to 366.44, 509.23 and 361.85 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 509.23 = 361.85 : x
  2. Step 2: Convert to fraction form
    366.44/509.23 = 361.85/x
  3. Step 3: Cross multiply
    366.44x = 509.23 × 361.85
  4. Step 4: Simplify right side
    366.44x = 184,262.78
  5. Step 5: Solve for x
    x = 184,262.78/366.44
  6. Step 6: Final answer
    x = 502.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.