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Finding the Fourth Proportional to 382.12, 526.70 and 257.73

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Solution

The fourth proportional to 382.12, 526.70 and 257.73 is: 355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 526.70 = 257.73 : x
  2. Step 2: Convert to fraction form
    382.12/526.70 = 257.73/x
  3. Step 3: Cross multiply
    382.12x = 526.70 × 257.73
  4. Step 4: Simplify right side
    382.12x = 135,748.02
  5. Step 5: Solve for x
    x = 135,748.02/382.12
  6. Step 6: Final answer
    x = 355.25

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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.