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Finding the Fourth Proportional to 260.28, 388.10 and 257.09

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Solution

The fourth proportional to 260.28, 388.10 and 257.09 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.28 : 388.10 = 257.09 : x
  2. Step 2: Convert to fraction form
    260.28/388.10 = 257.09/x
  3. Step 3: Cross multiply
    260.28x = 388.10 × 257.09
  4. Step 4: Simplify right side
    260.28x = 99,776.79
  5. Step 5: Solve for x
    x = 99,776.79/260.28
  6. Step 6: Final answer
    x = 383.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.