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Finding the Fourth Proportional to 256.56, 384.54 and 110.27

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Solution

The fourth proportional to 256.56, 384.54 and 110.27 is: 165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 384.54 = 110.27 : x
  2. Step 2: Convert to fraction form
    256.56/384.54 = 110.27/x
  3. Step 3: Cross multiply
    256.56x = 384.54 × 110.27
  4. Step 4: Simplify right side
    256.56x = 42,402.26
  5. Step 5: Solve for x
    x = 42,402.26/256.56
  6. Step 6: Final answer
    x = 165.27

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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.