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Finding the Fourth Proportional to 260.94, 389.49 and 239.30

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Solution

The fourth proportional to 260.94, 389.49 and 239.30 is: 357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 389.49 = 239.30 : x
  2. Step 2: Convert to fraction form
    260.94/389.49 = 239.30/x
  3. Step 3: Cross multiply
    260.94x = 389.49 × 239.30
  4. Step 4: Simplify right side
    260.94x = 93,204.96
  5. Step 5: Solve for x
    x = 93,204.96/260.94
  6. Step 6: Final answer
    x = 357.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.