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Finding the Fourth Proportional to 460.31, 635.20 and 250.48

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Solution

The fourth proportional to 460.31, 635.20 and 250.48 is: 345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.31 : 635.20 = 250.48 : x
  2. Step 2: Convert to fraction form
    460.31/635.20 = 250.48/x
  3. Step 3: Cross multiply
    460.31x = 635.20 × 250.48
  4. Step 4: Simplify right side
    460.31x = 159,105.33
  5. Step 5: Solve for x
    x = 159,105.33/460.31
  6. Step 6: Final answer
    x = 345.65

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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.