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Finding the Fourth Proportional to 256.10, 385.58 and 233.73

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Solution

The fourth proportional to 256.10, 385.58 and 233.73 is: 351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 385.58 = 233.73 : x
  2. Step 2: Convert to fraction form
    256.10/385.58 = 233.73/x
  3. Step 3: Cross multiply
    256.10x = 385.58 × 233.73
  4. Step 4: Simplify right side
    256.10x = 90,122.20
  5. Step 5: Solve for x
    x = 90,122.20/256.10
  6. Step 6: Final answer
    x = 351.91

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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.