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Finding the Fourth Proportional to 310.63, 467.78 and 270.54

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Solution

The fourth proportional to 310.63, 467.78 and 270.54 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.63 : 467.78 = 270.54 : x
  2. Step 2: Convert to fraction form
    310.63/467.78 = 270.54/x
  3. Step 3: Cross multiply
    310.63x = 467.78 × 270.54
  4. Step 4: Simplify right side
    310.63x = 126,553.20
  5. Step 5: Solve for x
    x = 126,553.20/310.63
  6. Step 6: Final answer
    x = 407.41

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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.