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Finding the Fourth Proportional to 318.16, 438.97 and 193.82

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Solution

The fourth proportional to 318.16, 438.97 and 193.82 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 438.97 = 193.82 : x
  2. Step 2: Convert to fraction form
    318.16/438.97 = 193.82/x
  3. Step 3: Cross multiply
    318.16x = 438.97 × 193.82
  4. Step 4: Simplify right side
    318.16x = 85,080.68
  5. Step 5: Solve for x
    x = 85,080.68/318.16
  6. Step 6: Final answer
    x = 267.42

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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.