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Finding the Fourth Proportional to 381.57, 525.95 and 257.19

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Solution

The fourth proportional to 381.57, 525.95 and 257.19 is: 354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.57 : 525.95 = 257.19 : x
  2. Step 2: Convert to fraction form
    381.57/525.95 = 257.19/x
  3. Step 3: Cross multiply
    381.57x = 525.95 × 257.19
  4. Step 4: Simplify right side
    381.57x = 135,265.16
  5. Step 5: Solve for x
    x = 135,265.16/381.57
  6. Step 6: Final answer
    x = 354.50

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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.