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Finding the Fourth Proportional to 318.42, 439.43 and 194.06

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Solution

The fourth proportional to 318.42, 439.43 and 194.06 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.42 : 439.43 = 194.06 : x
  2. Step 2: Convert to fraction form
    318.42/439.43 = 194.06/x
  3. Step 3: Cross multiply
    318.42x = 439.43 × 194.06
  4. Step 4: Simplify right side
    318.42x = 85,272.62
  5. Step 5: Solve for x
    x = 85,272.62/318.42
  6. Step 6: Final answer
    x = 267.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.