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Finding the Fourth Proportional to 260.45, 390.52 and 138.41

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Solution

The fourth proportional to 260.45, 390.52 and 138.41 is: 207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.45 : 390.52 = 138.41 : x
  2. Step 2: Convert to fraction form
    260.45/390.52 = 138.41/x
  3. Step 3: Cross multiply
    260.45x = 390.52 × 138.41
  4. Step 4: Simplify right side
    260.45x = 54,051.87
  5. Step 5: Solve for x
    x = 54,051.87/260.45
  6. Step 6: Final answer
    x = 207.53

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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.