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Finding the Fourth Proportional to 337.28, 505.58 and 120.74

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Solution

The fourth proportional to 337.28, 505.58 and 120.74 is: 180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.28 : 505.58 = 120.74 : x
  2. Step 2: Convert to fraction form
    337.28/505.58 = 120.74/x
  3. Step 3: Cross multiply
    337.28x = 505.58 × 120.74
  4. Step 4: Simplify right side
    337.28x = 61,043.73
  5. Step 5: Solve for x
    x = 61,043.73/337.28
  6. Step 6: Final answer
    x = 180.99

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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.