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Finding the Fourth Proportional to 256.79, 386.97 and 232.49

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Solution

The fourth proportional to 256.79, 386.97 and 232.49 is: 350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.79 : 386.97 = 232.49 : x
  2. Step 2: Convert to fraction form
    256.79/386.97 = 232.49/x
  3. Step 3: Cross multiply
    256.79x = 386.97 × 232.49
  4. Step 4: Simplify right side
    256.79x = 89,966.75
  5. Step 5: Solve for x
    x = 89,966.75/256.79
  6. Step 6: Final answer
    x = 350.35

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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.