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Finding the Fourth Proportional to 256.66, 352.24 and 229.83

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Solution

The fourth proportional to 256.66, 352.24 and 229.83 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.66 : 352.24 = 229.83 : x
  2. Step 2: Convert to fraction form
    256.66/352.24 = 229.83/x
  3. Step 3: Cross multiply
    256.66x = 352.24 × 229.83
  4. Step 4: Simplify right side
    256.66x = 80,954.72
  5. Step 5: Solve for x
    x = 80,954.72/256.66
  6. Step 6: Final answer
    x = 315.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.