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Finding the Fourth Proportional to 318.42, 441.63 and 307.44

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Solution

The fourth proportional to 318.42, 441.63 and 307.44 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.42 : 441.63 = 307.44 : x
  2. Step 2: Convert to fraction form
    318.42/441.63 = 307.44/x
  3. Step 3: Cross multiply
    318.42x = 441.63 × 307.44
  4. Step 4: Simplify right side
    318.42x = 135,774.73
  5. Step 5: Solve for x
    x = 135,774.73/318.42
  6. Step 6: Final answer
    x = 426.40

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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.