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Finding the Fourth Proportional to 374.28, 516.51 and 257.82

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Solution

The fourth proportional to 374.28, 516.51 and 257.82 is: 355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.28 : 516.51 = 257.82 : x
  2. Step 2: Convert to fraction form
    374.28/516.51 = 257.82/x
  3. Step 3: Cross multiply
    374.28x = 516.51 × 257.82
  4. Step 4: Simplify right side
    374.28x = 133,166.61
  5. Step 5: Solve for x
    x = 133,166.61/374.28
  6. Step 6: Final answer
    x = 355.79

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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.