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Finding the Fourth Proportional to 256.96, 386.82 and 230.50

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Solution

The fourth proportional to 256.96, 386.82 and 230.50 is: 346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 386.82 = 230.50 : x
  2. Step 2: Convert to fraction form
    256.96/386.82 = 230.50/x
  3. Step 3: Cross multiply
    256.96x = 386.82 × 230.50
  4. Step 4: Simplify right side
    256.96x = 89,160.86
  5. Step 5: Solve for x
    x = 89,160.86/256.96
  6. Step 6: Final answer
    x = 346.98

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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.