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Finding the Fourth Proportional to 338.44, 506.76 and 284.44

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Solution

The fourth proportional to 338.44, 506.76 and 284.44 is: 425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 506.76 = 284.44 : x
  2. Step 2: Convert to fraction form
    338.44/506.76 = 284.44/x
  3. Step 3: Cross multiply
    338.44x = 506.76 × 284.44
  4. Step 4: Simplify right side
    338.44x = 144,142.81
  5. Step 5: Solve for x
    x = 144,142.81/338.44
  6. Step 6: Final answer
    x = 425.90

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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.