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Finding the Fourth Proportional to 299.04, 445.17 and 297.42

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Solution

The fourth proportional to 299.04, 445.17 and 297.42 is: 442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 445.17 = 297.42 : x
  2. Step 2: Convert to fraction form
    299.04/445.17 = 297.42/x
  3. Step 3: Cross multiply
    299.04x = 445.17 × 297.42
  4. Step 4: Simplify right side
    299.04x = 132,402.46
  5. Step 5: Solve for x
    x = 132,402.46/299.04
  6. Step 6: Final answer
    x = 442.76

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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.