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Finding the Fourth Proportional to 272.50, 410.34 and 195.99

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Solution

The fourth proportional to 272.50, 410.34 and 195.99 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.50 : 410.34 = 195.99 : x
  2. Step 2: Convert to fraction form
    272.50/410.34 = 195.99/x
  3. Step 3: Cross multiply
    272.50x = 410.34 × 195.99
  4. Step 4: Simplify right side
    272.50x = 80,422.36
  5. Step 5: Solve for x
    x = 80,422.36/272.50
  6. Step 6: Final answer
    x = 295.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.