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Finding the Fourth Proportional to 260.69, 391.08 and 78.06

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Solution

The fourth proportional to 260.69, 391.08 and 78.06 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 391.08 = 78.06 : x
  2. Step 2: Convert to fraction form
    260.69/391.08 = 78.06/x
  3. Step 3: Cross multiply
    260.69x = 391.08 × 78.06
  4. Step 4: Simplify right side
    260.69x = 30,529.02
  5. Step 5: Solve for x
    x = 30,529.02/260.69
  6. Step 6: Final answer
    x = 117.11

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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.