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Finding the Fourth Proportional to 260.69, 391.21 and 152.33

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Solution

The fourth proportional to 260.69, 391.21 and 152.33 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 391.21 = 152.33 : x
  2. Step 2: Convert to fraction form
    260.69/391.21 = 152.33/x
  3. Step 3: Cross multiply
    260.69x = 391.21 × 152.33
  4. Step 4: Simplify right side
    260.69x = 59,590.68
  5. Step 5: Solve for x
    x = 59,590.68/260.69
  6. Step 6: Final answer
    x = 228.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.