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Finding the Fourth Proportional to 260.56, 392.87 and 239.03

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Solution

The fourth proportional to 260.56, 392.87 and 239.03 is: 360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 392.87 = 239.03 : x
  2. Step 2: Convert to fraction form
    260.56/392.87 = 239.03/x
  3. Step 3: Cross multiply
    260.56x = 392.87 × 239.03
  4. Step 4: Simplify right side
    260.56x = 93,907.72
  5. Step 5: Solve for x
    x = 93,907.72/260.56
  6. Step 6: Final answer
    x = 360.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.