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Finding the Fourth Proportional to 260, 389.82 and 157.31

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Solution

The fourth proportional to 260, 389.82 and 157.31 is: 235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 389.82 = 157.31 : x
  2. Step 2: Convert to fraction form
    260/389.82 = 157.31/x
  3. Step 3: Cross multiply
    260x = 389.82 × 157.31
  4. Step 4: Simplify right side
    260x = 61,322.58
  5. Step 5: Solve for x
    x = 61,322.58/260
  6. Step 6: Final answer
    x = 235.86

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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.