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Finding the Fourth Proportional to 300.04, 411.35 and 294.57

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Solution

The fourth proportional to 300.04, 411.35 and 294.57 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.04 : 411.35 = 294.57 : x
  2. Step 2: Convert to fraction form
    300.04/411.35 = 294.57/x
  3. Step 3: Cross multiply
    300.04x = 411.35 × 294.57
  4. Step 4: Simplify right side
    300.04x = 121,169.60
  5. Step 5: Solve for x
    x = 121,169.60/300.04
  6. Step 6: Final answer
    x = 403.85

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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.