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Finding the Fourth Proportional to 256.52, 354 and 140.09

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Solution

The fourth proportional to 256.52, 354 and 140.09 is: 193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.52 : 354 = 140.09 : x
  2. Step 2: Convert to fraction form
    256.52/354 = 140.09/x
  3. Step 3: Cross multiply
    256.52x = 354 × 140.09
  4. Step 4: Simplify right side
    256.52x = 49,590.09
  5. Step 5: Solve for x
    x = 49,590.09/256.52
  6. Step 6: Final answer
    x = 193.32

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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.