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Finding the Fourth Proportional to 310.20, 467.73 and 271.80

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Solution

The fourth proportional to 310.20, 467.73 and 271.80 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 467.73 = 271.80 : x
  2. Step 2: Convert to fraction form
    310.20/467.73 = 271.80/x
  3. Step 3: Cross multiply
    310.20x = 467.73 × 271.80
  4. Step 4: Simplify right side
    310.20x = 127,129.01
  5. Step 5: Solve for x
    x = 127,129.01/310.20
  6. Step 6: Final answer
    x = 409.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.