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Finding the Fourth Proportional to 256.43, 384.44 and 119.41

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Solution

The fourth proportional to 256.43, 384.44 and 119.41 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.43 : 384.44 = 119.41 : x
  2. Step 2: Convert to fraction form
    256.43/384.44 = 119.41/x
  3. Step 3: Cross multiply
    256.43x = 384.44 × 119.41
  4. Step 4: Simplify right side
    256.43x = 45,904.42
  5. Step 5: Solve for x
    x = 45,904.42/256.43
  6. Step 6: Final answer
    x = 179.01

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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.