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Finding the Fourth Proportional to 260.12, 358.02 and 201.80

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Solution

The fourth proportional to 260.12, 358.02 and 201.80 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 358.02 = 201.80 : x
  2. Step 2: Convert to fraction form
    260.12/358.02 = 201.80/x
  3. Step 3: Cross multiply
    260.12x = 358.02 × 201.80
  4. Step 4: Simplify right side
    260.12x = 72,248.44
  5. Step 5: Solve for x
    x = 72,248.44/260.12
  6. Step 6: Final answer
    x = 277.75

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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.