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Finding the Fourth Proportional to 260.20, 390.56 and 212.68

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Solution

The fourth proportional to 260.20, 390.56 and 212.68 is: 319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.20 : 390.56 = 212.68 : x
  2. Step 2: Convert to fraction form
    260.20/390.56 = 212.68/x
  3. Step 3: Cross multiply
    260.20x = 390.56 × 212.68
  4. Step 4: Simplify right side
    260.20x = 83,064.30
  5. Step 5: Solve for x
    x = 83,064.30/260.20
  6. Step 6: Final answer
    x = 319.23

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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.