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Finding the Fourth Proportional to 302.15, 414.17 and 298.04

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Solution

The fourth proportional to 302.15, 414.17 and 298.04 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.15 : 414.17 = 298.04 : x
  2. Step 2: Convert to fraction form
    302.15/414.17 = 298.04/x
  3. Step 3: Cross multiply
    302.15x = 414.17 × 298.04
  4. Step 4: Simplify right side
    302.15x = 123,438.77
  5. Step 5: Solve for x
    x = 123,438.77/302.15
  6. Step 6: Final answer
    x = 408.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.