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Finding the Fourth Proportional to 256.19, 382.40 and 234.54

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Solution

The fourth proportional to 256.19, 382.40 and 234.54 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 382.40 = 234.54 : x
  2. Step 2: Convert to fraction form
    256.19/382.40 = 234.54/x
  3. Step 3: Cross multiply
    256.19x = 382.40 × 234.54
  4. Step 4: Simplify right side
    256.19x = 89,688.68
  5. Step 5: Solve for x
    x = 89,688.68/256.19
  6. Step 6: Final answer
    x = 350.09

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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.