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Finding the Fourth Proportional to 260.10, 358.69 and 166.82

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Solution

The fourth proportional to 260.10, 358.69 and 166.82 is: 230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 358.69 = 166.82 : x
  2. Step 2: Convert to fraction form
    260.10/358.69 = 166.82/x
  3. Step 3: Cross multiply
    260.10x = 358.69 × 166.82
  4. Step 4: Simplify right side
    260.10x = 59,836.67
  5. Step 5: Solve for x
    x = 59,836.67/260.10
  6. Step 6: Final answer
    x = 230.05

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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.