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Finding the Fourth Proportional to 256.31, 354.17 and 189.83

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Solution

The fourth proportional to 256.31, 354.17 and 189.83 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.31 : 354.17 = 189.83 : x
  2. Step 2: Convert to fraction form
    256.31/354.17 = 189.83/x
  3. Step 3: Cross multiply
    256.31x = 354.17 × 189.83
  4. Step 4: Simplify right side
    256.31x = 67,233.45
  5. Step 5: Solve for x
    x = 67,233.45/256.31
  6. Step 6: Final answer
    x = 262.31

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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.