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Finding the Fourth Proportional to 256.23, 353.23 and 203.80

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Solution

The fourth proportional to 256.23, 353.23 and 203.80 is: 280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 353.23 = 203.80 : x
  2. Step 2: Convert to fraction form
    256.23/353.23 = 203.80/x
  3. Step 3: Cross multiply
    256.23x = 353.23 × 203.80
  4. Step 4: Simplify right side
    256.23x = 71,985.49
  5. Step 5: Solve for x
    x = 71,985.49/256.23
  6. Step 6: Final answer
    x = 280.94

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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.