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Finding the Fourth Proportional to 310.25, 467.22 and 270.16

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Solution

The fourth proportional to 310.25, 467.22 and 270.16 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.25 : 467.22 = 270.16 : x
  2. Step 2: Convert to fraction form
    310.25/467.22 = 270.16/x
  3. Step 3: Cross multiply
    310.25x = 467.22 × 270.16
  4. Step 4: Simplify right side
    310.25x = 126,224.00
  5. Step 5: Solve for x
    x = 126,224.00/310.25
  6. Step 6: Final answer
    x = 406.84

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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.