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Finding the Fourth Proportional to 256.05, 352.46 and 229.40

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Solution

The fourth proportional to 256.05, 352.46 and 229.40 is: 315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.05 : 352.46 = 229.40 : x
  2. Step 2: Convert to fraction form
    256.05/352.46 = 229.40/x
  3. Step 3: Cross multiply
    256.05x = 352.46 × 229.40
  4. Step 4: Simplify right side
    256.05x = 80,851.41
  5. Step 5: Solve for x
    x = 80,851.41/256.05
  6. Step 6: Final answer
    x = 315.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.