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Finding the Fourth Proportional to 299.19, 415.76 and 297.98

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Solution

The fourth proportional to 299.19, 415.76 and 297.98 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 415.76 = 297.98 : x
  2. Step 2: Convert to fraction form
    299.19/415.76 = 297.98/x
  3. Step 3: Cross multiply
    299.19x = 415.76 × 297.98
  4. Step 4: Simplify right side
    299.19x = 123,886.99
  5. Step 5: Solve for x
    x = 123,886.99/299.19
  6. Step 6: Final answer
    x = 414.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.