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Finding the Fourth Proportional to 381.31, 526.38 and 257.05

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Solution

The fourth proportional to 381.31, 526.38 and 257.05 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.31 : 526.38 = 257.05 : x
  2. Step 2: Convert to fraction form
    381.31/526.38 = 257.05/x
  3. Step 3: Cross multiply
    381.31x = 526.38 × 257.05
  4. Step 4: Simplify right side
    381.31x = 135,304.66
  5. Step 5: Solve for x
    x = 135,304.66/381.31
  6. Step 6: Final answer
    x = 354.84

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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.