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Finding the Fourth Proportional to 260.56, 390.66 and 164.44

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Solution

The fourth proportional to 260.56, 390.66 and 164.44 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 390.66 = 164.44 : x
  2. Step 2: Convert to fraction form
    260.56/390.66 = 164.44/x
  3. Step 3: Cross multiply
    260.56x = 390.66 × 164.44
  4. Step 4: Simplify right side
    260.56x = 64,240.13
  5. Step 5: Solve for x
    x = 64,240.13/260.56
  6. Step 6: Final answer
    x = 246.55

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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.