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Finding the Fourth Proportional to 381.38, 525.72 and 257

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Solution

The fourth proportional to 381.38, 525.72 and 257 is: 354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 525.72 = 257 : x
  2. Step 2: Convert to fraction form
    381.38/525.72 = 257/x
  3. Step 3: Cross multiply
    381.38x = 525.72 × 257
  4. Step 4: Simplify right side
    381.38x = 135,110.04
  5. Step 5: Solve for x
    x = 135,110.04/381.38
  6. Step 6: Final answer
    x = 354.27

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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.