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Finding the Fourth Proportional to 256.33, 353.62 and 197.21

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Solution

The fourth proportional to 256.33, 353.62 and 197.21 is: 272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.33 : 353.62 = 197.21 : x
  2. Step 2: Convert to fraction form
    256.33/353.62 = 197.21/x
  3. Step 3: Cross multiply
    256.33x = 353.62 × 197.21
  4. Step 4: Simplify right side
    256.33x = 69,737.40
  5. Step 5: Solve for x
    x = 69,737.40/256.33
  6. Step 6: Final answer
    x = 272.06

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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.