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Finding the Fourth Proportional to 338.04, 505.85 and 329.94

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Solution

The fourth proportional to 338.04, 505.85 and 329.94 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 505.85 = 329.94 : x
  2. Step 2: Convert to fraction form
    338.04/505.85 = 329.94/x
  3. Step 3: Cross multiply
    338.04x = 505.85 × 329.94
  4. Step 4: Simplify right side
    338.04x = 166,898.50
  5. Step 5: Solve for x
    x = 166,898.50/338.04
  6. Step 6: Final answer
    x = 493.72

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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.