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Finding the Fourth Proportional to 331.89, 460.10 and 314.33

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Solution

The fourth proportional to 331.89, 460.10 and 314.33 is: 435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.89 : 460.10 = 314.33 : x
  2. Step 2: Convert to fraction form
    331.89/460.10 = 314.33/x
  3. Step 3: Cross multiply
    331.89x = 460.10 × 314.33
  4. Step 4: Simplify right side
    331.89x = 144,619.36
  5. Step 5: Solve for x
    x = 144,619.36/331.89
  6. Step 6: Final answer
    x = 435.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.