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Finding the Fourth Proportional to 260.43, 390.71 and 138.67

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Solution

The fourth proportional to 260.43, 390.71 and 138.67 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.43 : 390.71 = 138.67 : x
  2. Step 2: Convert to fraction form
    260.43/390.71 = 138.67/x
  3. Step 3: Cross multiply
    260.43x = 390.71 × 138.67
  4. Step 4: Simplify right side
    260.43x = 54,180.59
  5. Step 5: Solve for x
    x = 54,180.59/260.43
  6. Step 6: Final answer
    x = 208.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.