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Finding the Fourth Proportional to 461.90, 635.72 and 330.68

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Solution

The fourth proportional to 461.90, 635.72 and 330.68 is: 455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 635.72 = 330.68 : x
  2. Step 2: Convert to fraction form
    461.90/635.72 = 330.68/x
  3. Step 3: Cross multiply
    461.90x = 635.72 × 330.68
  4. Step 4: Simplify right side
    461.90x = 210,219.83
  5. Step 5: Solve for x
    x = 210,219.83/461.90
  6. Step 6: Final answer
    x = 455.12

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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.