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Finding the Fourth Proportional to 336.78, 461.97 and 318.15

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Solution

The fourth proportional to 336.78, 461.97 and 318.15 is: 436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.78 : 461.97 = 318.15 : x
  2. Step 2: Convert to fraction form
    336.78/461.97 = 318.15/x
  3. Step 3: Cross multiply
    336.78x = 461.97 × 318.15
  4. Step 4: Simplify right side
    336.78x = 146,975.76
  5. Step 5: Solve for x
    x = 146,975.76/336.78
  6. Step 6: Final answer
    x = 436.41

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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.