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Finding the Fourth Proportional to 260.73, 390.66 and 217.17

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Solution

The fourth proportional to 260.73, 390.66 and 217.17 is: 325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.73 : 390.66 = 217.17 : x
  2. Step 2: Convert to fraction form
    260.73/390.66 = 217.17/x
  3. Step 3: Cross multiply
    260.73x = 390.66 × 217.17
  4. Step 4: Simplify right side
    260.73x = 84,839.63
  5. Step 5: Solve for x
    x = 84,839.63/260.73
  6. Step 6: Final answer
    x = 325.39

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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.