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Finding the Fourth Proportional to 256.49, 386.26 and 232.39

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Solution

The fourth proportional to 256.49, 386.26 and 232.39 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 386.26 = 232.39 : x
  2. Step 2: Convert to fraction form
    256.49/386.26 = 232.39/x
  3. Step 3: Cross multiply
    256.49x = 386.26 × 232.39
  4. Step 4: Simplify right side
    256.49x = 89,762.96
  5. Step 5: Solve for x
    x = 89,762.96/256.49
  6. Step 6: Final answer
    x = 349.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.