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Finding the Fourth Proportional to 256.42, 353.85 and 144.39

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Solution

The fourth proportional to 256.42, 353.85 and 144.39 is: 199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 353.85 = 144.39 : x
  2. Step 2: Convert to fraction form
    256.42/353.85 = 144.39/x
  3. Step 3: Cross multiply
    256.42x = 353.85 × 144.39
  4. Step 4: Simplify right side
    256.42x = 51,091.01
  5. Step 5: Solve for x
    x = 51,091.01/256.42
  6. Step 6: Final answer
    x = 199.25

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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.