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Finding the Fourth Proportional to 461.80, 636.66 and 320.02

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Solution

The fourth proportional to 461.80, 636.66 and 320.02 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 636.66 = 320.02 : x
  2. Step 2: Convert to fraction form
    461.80/636.66 = 320.02/x
  3. Step 3: Cross multiply
    461.80x = 636.66 × 320.02
  4. Step 4: Simplify right side
    461.80x = 203,743.93
  5. Step 5: Solve for x
    x = 203,743.93/461.80
  6. Step 6: Final answer
    x = 441.20

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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.