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Finding the Fourth Proportional to 256.33, 384.19 and 119.08

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Solution

The fourth proportional to 256.33, 384.19 and 119.08 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.33 : 384.19 = 119.08 : x
  2. Step 2: Convert to fraction form
    256.33/384.19 = 119.08/x
  3. Step 3: Cross multiply
    256.33x = 384.19 × 119.08
  4. Step 4: Simplify right side
    256.33x = 45,749.35
  5. Step 5: Solve for x
    x = 45,749.35/256.33
  6. Step 6: Final answer
    x = 178.48

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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.