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Finding the Fourth Proportional to 256.47, 353.88 and 144.42

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Solution

The fourth proportional to 256.47, 353.88 and 144.42 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 353.88 = 144.42 : x
  2. Step 2: Convert to fraction form
    256.47/353.88 = 144.42/x
  3. Step 3: Cross multiply
    256.47x = 353.88 × 144.42
  4. Step 4: Simplify right side
    256.47x = 51,107.35
  5. Step 5: Solve for x
    x = 51,107.35/256.47
  6. Step 6: Final answer
    x = 199.27

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