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Finding the Fourth Proportional to 260, 390 and 115.76

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Solution

The fourth proportional to 260, 390 and 115.76 is: 173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 390 = 115.76 : x
  2. Step 2: Convert to fraction form
    260/390 = 115.76/x
  3. Step 3: Cross multiply
    260x = 390 × 115.76
  4. Step 4: Simplify right side
    260x = 45,146.40
  5. Step 5: Solve for x
    x = 45,146.40/260
  6. Step 6: Final answer
    x = 173.64

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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.