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Finding the Fourth Proportional to 256.19, 353.97 and 201.38

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Solution

The fourth proportional to 256.19, 353.97 and 201.38 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.19 : 353.97 = 201.38 : x
  2. Step 2: Convert to fraction form
    256.19/353.97 = 201.38/x
  3. Step 3: Cross multiply
    256.19x = 353.97 × 201.38
  4. Step 4: Simplify right side
    256.19x = 71,280.71
  5. Step 5: Solve for x
    x = 71,280.71/256.19
  6. Step 6: Final answer
    x = 278.24

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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.