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Finding the Fourth Proportional to 256.83, 384.90 and 141.31

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Solution

The fourth proportional to 256.83, 384.90 and 141.31 is: 211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.83 : 384.90 = 141.31 : x
  2. Step 2: Convert to fraction form
    256.83/384.90 = 141.31/x
  3. Step 3: Cross multiply
    256.83x = 384.90 × 141.31
  4. Step 4: Simplify right side
    256.83x = 54,390.22
  5. Step 5: Solve for x
    x = 54,390.22/256.83
  6. Step 6: Final answer
    x = 211.78

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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.