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Finding the Fourth Proportional to 461.04, 635.55 and 329.82

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Solution

The fourth proportional to 461.04, 635.55 and 329.82 is: 454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.04 : 635.55 = 329.82 : x
  2. Step 2: Convert to fraction form
    461.04/635.55 = 329.82/x
  3. Step 3: Cross multiply
    461.04x = 635.55 × 329.82
  4. Step 4: Simplify right side
    461.04x = 209,617.10
  5. Step 5: Solve for x
    x = 209,617.10/461.04
  6. Step 6: Final answer
    x = 454.66

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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.