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Finding the Fourth Proportional to 261.28, 359.94 and 195.76

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Solution

The fourth proportional to 261.28, 359.94 and 195.76 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 359.94 = 195.76 : x
  2. Step 2: Convert to fraction form
    261.28/359.94 = 195.76/x
  3. Step 3: Cross multiply
    261.28x = 359.94 × 195.76
  4. Step 4: Simplify right side
    261.28x = 70,461.85
  5. Step 5: Solve for x
    x = 70,461.85/261.28
  6. Step 6: Final answer
    x = 269.68

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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.