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Finding the Fourth Proportional to 460.25, 634.98 and 361.05

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Solution

The fourth proportional to 460.25, 634.98 and 361.05 is: 498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 634.98 = 361.05 : x
  2. Step 2: Convert to fraction form
    460.25/634.98 = 361.05/x
  3. Step 3: Cross multiply
    460.25x = 634.98 × 361.05
  4. Step 4: Simplify right side
    460.25x = 229,259.53
  5. Step 5: Solve for x
    x = 229,259.53/460.25
  6. Step 6: Final answer
    x = 498.12

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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.