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Finding the Fourth Proportional to 260.10, 357.05 and 257.67

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Solution

The fourth proportional to 260.10, 357.05 and 257.67 is: 353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 357.05 = 257.67 : x
  2. Step 2: Convert to fraction form
    260.10/357.05 = 257.67/x
  3. Step 3: Cross multiply
    260.10x = 357.05 × 257.67
  4. Step 4: Simplify right side
    260.10x = 92,001.72
  5. Step 5: Solve for x
    x = 92,001.72/260.10
  6. Step 6: Final answer
    x = 353.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.