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Finding the Fourth Proportional to 256.04, 382.09 and 228.70

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Solution

The fourth proportional to 256.04, 382.09 and 228.70 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 382.09 = 228.70 : x
  2. Step 2: Convert to fraction form
    256.04/382.09 = 228.70/x
  3. Step 3: Cross multiply
    256.04x = 382.09 × 228.70
  4. Step 4: Simplify right side
    256.04x = 87,380.93
  5. Step 5: Solve for x
    x = 87,380.93/256.04
  6. Step 6: Final answer
    x = 341.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.