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Finding the Fourth Proportional to 256.37, 351.07 and 242.33

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Solution

The fourth proportional to 256.37, 351.07 and 242.33 is: 331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 351.07 = 242.33 : x
  2. Step 2: Convert to fraction form
    256.37/351.07 = 242.33/x
  3. Step 3: Cross multiply
    256.37x = 351.07 × 242.33
  4. Step 4: Simplify right side
    256.37x = 85,072.43
  5. Step 5: Solve for x
    x = 85,072.43/256.37
  6. Step 6: Final answer
    x = 331.83

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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.