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Finding the Fourth Proportional to 260.67, 390.81 and 183.45

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Solution

The fourth proportional to 260.67, 390.81 and 183.45 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 390.81 = 183.45 : x
  2. Step 2: Convert to fraction form
    260.67/390.81 = 183.45/x
  3. Step 3: Cross multiply
    260.67x = 390.81 × 183.45
  4. Step 4: Simplify right side
    260.67x = 71,694.09
  5. Step 5: Solve for x
    x = 71,694.09/260.67
  6. Step 6: Final answer
    x = 275.04

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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.