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Finding the Fourth Proportional to 257.08, 354.78 and 140.64

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Solution

The fourth proportional to 257.08, 354.78 and 140.64 is: 194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.08 : 354.78 = 140.64 : x
  2. Step 2: Convert to fraction form
    257.08/354.78 = 140.64/x
  3. Step 3: Cross multiply
    257.08x = 354.78 × 140.64
  4. Step 4: Simplify right side
    257.08x = 49,896.26
  5. Step 5: Solve for x
    x = 49,896.26/257.08
  6. Step 6: Final answer
    x = 194.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.