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Finding the Fourth Proportional to 256.05, 385.34 and 230.90

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Solution

The fourth proportional to 256.05, 385.34 and 230.90 is: 347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.05 : 385.34 = 230.90 : x
  2. Step 2: Convert to fraction form
    256.05/385.34 = 230.90/x
  3. Step 3: Cross multiply
    256.05x = 385.34 × 230.90
  4. Step 4: Simplify right side
    256.05x = 88,971.92
  5. Step 5: Solve for x
    x = 88,971.92/256.05
  6. Step 6: Final answer
    x = 347.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.