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Finding the Fourth Proportional to 260.05, 358.66 and 189.16

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Solution

The fourth proportional to 260.05, 358.66 and 189.16 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.05 : 358.66 = 189.16 : x
  2. Step 2: Convert to fraction form
    260.05/358.66 = 189.16/x
  3. Step 3: Cross multiply
    260.05x = 358.66 × 189.16
  4. Step 4: Simplify right side
    260.05x = 67,843.61
  5. Step 5: Solve for x
    x = 67,843.61/260.05
  6. Step 6: Final answer
    x = 260.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.