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Finding the Fourth Proportional to 260.36, 358.54 and 194.76

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Solution

The fourth proportional to 260.36, 358.54 and 194.76 is: 268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 358.54 = 194.76 : x
  2. Step 2: Convert to fraction form
    260.36/358.54 = 194.76/x
  3. Step 3: Cross multiply
    260.36x = 358.54 × 194.76
  4. Step 4: Simplify right side
    260.36x = 69,829.25
  5. Step 5: Solve for x
    x = 69,829.25/260.36
  6. Step 6: Final answer
    x = 268.20

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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.