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Finding the Fourth Proportional to 256.96, 380.20 and 256.24

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Solution

The fourth proportional to 256.96, 380.20 and 256.24 is: 379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 380.20 = 256.24 : x
  2. Step 2: Convert to fraction form
    256.96/380.20 = 256.24/x
  3. Step 3: Cross multiply
    256.96x = 380.20 × 256.24
  4. Step 4: Simplify right side
    256.96x = 97,422.45
  5. Step 5: Solve for x
    x = 97,422.45/256.96
  6. Step 6: Final answer
    x = 379.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.