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Finding the Fourth Proportional to 460.25, 635.14 and 271.15

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Solution

The fourth proportional to 460.25, 635.14 and 271.15 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 635.14 = 271.15 : x
  2. Step 2: Convert to fraction form
    460.25/635.14 = 271.15/x
  3. Step 3: Cross multiply
    460.25x = 635.14 × 271.15
  4. Step 4: Simplify right side
    460.25x = 172,216.96
  5. Step 5: Solve for x
    x = 172,216.96/460.25
  6. Step 6: Final answer
    x = 374.18

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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.