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Finding the Fourth Proportional to 260.45, 390.86 and 116.17

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Solution

The fourth proportional to 260.45, 390.86 and 116.17 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.45 : 390.86 = 116.17 : x
  2. Step 2: Convert to fraction form
    260.45/390.86 = 116.17/x
  3. Step 3: Cross multiply
    260.45x = 390.86 × 116.17
  4. Step 4: Simplify right side
    260.45x = 45,406.21
  5. Step 5: Solve for x
    x = 45,406.21/260.45
  6. Step 6: Final answer
    x = 174.34

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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.