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Finding the Fourth Proportional to 338.33, 509.84 and 305.85

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Solution

The fourth proportional to 338.33, 509.84 and 305.85 is: 460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.33 : 509.84 = 305.85 : x
  2. Step 2: Convert to fraction form
    338.33/509.84 = 305.85/x
  3. Step 3: Cross multiply
    338.33x = 509.84 × 305.85
  4. Step 4: Simplify right side
    338.33x = 155,936.38
  5. Step 5: Solve for x
    x = 155,936.38/338.33
  6. Step 6: Final answer
    x = 460.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.