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Finding the Fourth Proportional to 256.27, 384.68 and 243.49

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Solution

The fourth proportional to 256.27, 384.68 and 243.49 is: 365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.27 : 384.68 = 243.49 : x
  2. Step 2: Convert to fraction form
    256.27/384.68 = 243.49/x
  3. Step 3: Cross multiply
    256.27x = 384.68 × 243.49
  4. Step 4: Simplify right side
    256.27x = 93,665.73
  5. Step 5: Solve for x
    x = 93,665.73/256.27
  6. Step 6: Final answer
    x = 365.50

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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.