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Finding the Fourth Proportional to 256.50, 356.33 and 254.00

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Solution

The fourth proportional to 256.50, 356.33 and 254.00 is: 352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 356.33 = 254.00 : x
  2. Step 2: Convert to fraction form
    256.50/356.33 = 254.00/x
  3. Step 3: Cross multiply
    256.50x = 356.33 × 254.00
  4. Step 4: Simplify right side
    256.50x = 90,504.77
  5. Step 5: Solve for x
    x = 90,504.77/256.50
  6. Step 6: Final answer
    x = 352.85

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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.