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Finding the Fourth Proportional to 257.20, 360.80 and 257.20

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Solution

The fourth proportional to 257.20, 360.80 and 257.20 is: 360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 360.80 = 257.20 : x
  2. Step 2: Convert to fraction form
    257.20/360.80 = 257.20/x
  3. Step 3: Cross multiply
    257.20x = 360.80 × 257.20
  4. Step 4: Simplify right side
    257.20x = 92,797.76
  5. Step 5: Solve for x
    x = 92,797.76/257.20
  6. Step 6: Final answer
    x = 360.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.