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Finding the Fourth Proportional to 262.51, 394.03 and 185.56

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Solution

The fourth proportional to 262.51, 394.03 and 185.56 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.51 : 394.03 = 185.56 : x
  2. Step 2: Convert to fraction form
    262.51/394.03 = 185.56/x
  3. Step 3: Cross multiply
    262.51x = 394.03 × 185.56
  4. Step 4: Simplify right side
    262.51x = 73,115.45
  5. Step 5: Solve for x
    x = 73,115.45/262.51
  6. Step 6: Final answer
    x = 278.53

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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.