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Finding the Fourth Proportional to 374.56, 516 and 257.92

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Solution

The fourth proportional to 374.56, 516 and 257.92 is: 355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.56 : 516 = 257.92 : x
  2. Step 2: Convert to fraction form
    374.56/516 = 257.92/x
  3. Step 3: Cross multiply
    374.56x = 516 × 257.92
  4. Step 4: Simplify right side
    374.56x = 133,086.72
  5. Step 5: Solve for x
    x = 133,086.72/374.56
  6. Step 6: Final answer
    x = 355.31

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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.