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Finding the Fourth Proportional to 256.71, 353.70 and 173.73

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Solution

The fourth proportional to 256.71, 353.70 and 173.73 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 353.70 = 173.73 : x
  2. Step 2: Convert to fraction form
    256.71/353.70 = 173.73/x
  3. Step 3: Cross multiply
    256.71x = 353.70 × 173.73
  4. Step 4: Simplify right side
    256.71x = 61,448.30
  5. Step 5: Solve for x
    x = 61,448.30/256.71
  6. Step 6: Final answer
    x = 239.37

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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.