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Finding the Fourth Proportional to 256.01, 384 and 82.68

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Solution

The fourth proportional to 256.01, 384 and 82.68 is: 124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.01 : 384 = 82.68 : x
  2. Step 2: Convert to fraction form
    256.01/384 = 82.68/x
  3. Step 3: Cross multiply
    256.01x = 384 × 82.68
  4. Step 4: Simplify right side
    256.01x = 31,749.12
  5. Step 5: Solve for x
    x = 31,749.12/256.01
  6. Step 6: Final answer
    x = 124.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.