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Finding the Fourth Proportional to 338.98, 506.02 and 297.98

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Solution

The fourth proportional to 338.98, 506.02 and 297.98 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.98 : 506.02 = 297.98 : x
  2. Step 2: Convert to fraction form
    338.98/506.02 = 297.98/x
  3. Step 3: Cross multiply
    338.98x = 506.02 × 297.98
  4. Step 4: Simplify right side
    338.98x = 150,783.84
  5. Step 5: Solve for x
    x = 150,783.84/338.98
  6. Step 6: Final answer
    x = 444.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.