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Finding the Fourth Proportional to 260.69, 390.91 and 78.04

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Solution

The fourth proportional to 260.69, 390.91 and 78.04 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 390.91 = 78.04 : x
  2. Step 2: Convert to fraction form
    260.69/390.91 = 78.04/x
  3. Step 3: Cross multiply
    260.69x = 390.91 × 78.04
  4. Step 4: Simplify right side
    260.69x = 30,504.27
  5. Step 5: Solve for x
    x = 30,504.27/260.69
  6. Step 6: Final answer
    x = 117.01

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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.