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Finding the Fourth Proportional to 911.01, 1,366.65 and 261.80

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Solution

The fourth proportional to 911.01, 1,366.65 and 261.80 is: 392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.01 : 1,366.65 = 261.80 : x
  2. Step 2: Convert to fraction form
    911.01/1,366.65 = 261.80/x
  3. Step 3: Cross multiply
    911.01x = 1,366.65 × 261.80
  4. Step 4: Simplify right side
    911.01x = 357,782.14
  5. Step 5: Solve for x
    x = 357,782.14/911.01
  6. Step 6: Final answer
    x = 392.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.