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Finding the Fourth Proportional to 256.12, 352.83 and 240.46

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Solution

The fourth proportional to 256.12, 352.83 and 240.46 is: 331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.12 : 352.83 = 240.46 : x
  2. Step 2: Convert to fraction form
    256.12/352.83 = 240.46/x
  3. Step 3: Cross multiply
    256.12x = 352.83 × 240.46
  4. Step 4: Simplify right side
    256.12x = 84,841.50
  5. Step 5: Solve for x
    x = 84,841.50/256.12
  6. Step 6: Final answer
    x = 331.26

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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.