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Finding the Fourth Proportional to 336.97, 505.47 and 120.56

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Solution

The fourth proportional to 336.97, 505.47 and 120.56 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.97 : 505.47 = 120.56 : x
  2. Step 2: Convert to fraction form
    336.97/505.47 = 120.56/x
  3. Step 3: Cross multiply
    336.97x = 505.47 × 120.56
  4. Step 4: Simplify right side
    336.97x = 60,939.46
  5. Step 5: Solve for x
    x = 60,939.46/336.97
  6. Step 6: Final answer
    x = 180.85

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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.