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Finding the Fourth Proportional to 260.74, 391.67 and 158.07

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Solution

The fourth proportional to 260.74, 391.67 and 158.07 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.74 : 391.67 = 158.07 : x
  2. Step 2: Convert to fraction form
    260.74/391.67 = 158.07/x
  3. Step 3: Cross multiply
    260.74x = 391.67 × 158.07
  4. Step 4: Simplify right side
    260.74x = 61,912.55
  5. Step 5: Solve for x
    x = 61,912.55/260.74
  6. Step 6: Final answer
    x = 237.45

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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.