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Finding the Fourth Proportional to 460.41, 634.93 and 310.96

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Solution

The fourth proportional to 460.41, 634.93 and 310.96 is: 428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 634.93 = 310.96 : x
  2. Step 2: Convert to fraction form
    460.41/634.93 = 310.96/x
  3. Step 3: Cross multiply
    460.41x = 634.93 × 310.96
  4. Step 4: Simplify right side
    460.41x = 197,437.83
  5. Step 5: Solve for x
    x = 197,437.83/460.41
  6. Step 6: Final answer
    x = 428.83

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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.