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Finding the Fourth Proportional to 256.12, 382.31 and 222.10

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Solution

The fourth proportional to 256.12, 382.31 and 222.10 is: 331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 382.31 = 222.10 : x
  2. Step 2: Convert to fraction form
    256.12/382.31 = 222.10/x
  3. Step 3: Cross multiply
    256.12x = 382.31 × 222.10
  4. Step 4: Simplify right side
    256.12x = 84,911.05
  5. Step 5: Solve for x
    x = 84,911.05/256.12
  6. Step 6: Final answer
    x = 331.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.