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Finding the Fourth Proportional to 256.12, 384.10 and 82.78

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Solution

The fourth proportional to 256.12, 384.10 and 82.78 is: 124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 384.10 = 82.78 : x
  2. Step 2: Convert to fraction form
    256.12/384.10 = 82.78/x
  3. Step 3: Cross multiply
    256.12x = 384.10 × 82.78
  4. Step 4: Simplify right side
    256.12x = 31,795.80
  5. Step 5: Solve for x
    x = 31,795.80/256.12
  6. Step 6: Final answer
    x = 124.14

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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.