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Finding the Fourth Proportional to 257.60, 357.20 and 244.80

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Solution

The fourth proportional to 257.60, 357.20 and 244.80 is: 339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.60 : 357.20 = 244.80 : x
  2. Step 2: Convert to fraction form
    257.60/357.20 = 244.80/x
  3. Step 3: Cross multiply
    257.60x = 357.20 × 244.80
  4. Step 4: Simplify right side
    257.60x = 87,442.56
  5. Step 5: Solve for x
    x = 87,442.56/257.60
  6. Step 6: Final answer
    x = 339.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.