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Finding the Fourth Proportional to 318.96, 442.02 and 300.75

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Solution

The fourth proportional to 318.96, 442.02 and 300.75 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.96 : 442.02 = 300.75 : x
  2. Step 2: Convert to fraction form
    318.96/442.02 = 300.75/x
  3. Step 3: Cross multiply
    318.96x = 442.02 × 300.75
  4. Step 4: Simplify right side
    318.96x = 132,937.52
  5. Step 5: Solve for x
    x = 132,937.52/318.96
  6. Step 6: Final answer
    x = 416.78

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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.