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Finding the Fourth Proportional to 460.83, 636.08 and 274.26

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Solution

The fourth proportional to 460.83, 636.08 and 274.26 is: 378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 636.08 = 274.26 : x
  2. Step 2: Convert to fraction form
    460.83/636.08 = 274.26/x
  3. Step 3: Cross multiply
    460.83x = 636.08 × 274.26
  4. Step 4: Simplify right side
    460.83x = 174,449.93
  5. Step 5: Solve for x
    x = 174,449.93/460.83
  6. Step 6: Final answer
    x = 378.56

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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.