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Finding the Fourth Proportional to 257.70, 355.77 and 179.46

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Solution

The fourth proportional to 257.70, 355.77 and 179.46 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.70 : 355.77 = 179.46 : x
  2. Step 2: Convert to fraction form
    257.70/355.77 = 179.46/x
  3. Step 3: Cross multiply
    257.70x = 355.77 × 179.46
  4. Step 4: Simplify right side
    257.70x = 63,846.48
  5. Step 5: Solve for x
    x = 63,846.48/257.70
  6. Step 6: Final answer
    x = 247.76

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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.