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Finding the Fourth Proportional to 461.62, 636.42 and 330.40

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Solution

The fourth proportional to 461.62, 636.42 and 330.40 is: 455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 636.42 = 330.40 : x
  2. Step 2: Convert to fraction form
    461.62/636.42 = 330.40/x
  3. Step 3: Cross multiply
    461.62x = 636.42 × 330.40
  4. Step 4: Simplify right side
    461.62x = 210,273.17
  5. Step 5: Solve for x
    x = 210,273.17/461.62
  6. Step 6: Final answer
    x = 455.51

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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.