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Finding the Fourth Proportional to 256.24, 351.71 and 234.40

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Solution

The fourth proportional to 256.24, 351.71 and 234.40 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.24 : 351.71 = 234.40 : x
  2. Step 2: Convert to fraction form
    256.24/351.71 = 234.40/x
  3. Step 3: Cross multiply
    256.24x = 351.71 × 234.40
  4. Step 4: Simplify right side
    256.24x = 82,440.82
  5. Step 5: Solve for x
    x = 82,440.82/256.24
  6. Step 6: Final answer
    x = 321.73

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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.