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Finding the Fourth Proportional to 257.21, 385.84 and 110.96

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Solution

The fourth proportional to 257.21, 385.84 and 110.96 is: 166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.21 : 385.84 = 110.96 : x
  2. Step 2: Convert to fraction form
    257.21/385.84 = 110.96/x
  3. Step 3: Cross multiply
    257.21x = 385.84 × 110.96
  4. Step 4: Simplify right side
    257.21x = 42,814.01
  5. Step 5: Solve for x
    x = 42,814.01/257.21
  6. Step 6: Final answer
    x = 166.46

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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.