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Finding the Fourth Proportional to 275.17, 411.95 and 172.15

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Solution

The fourth proportional to 275.17, 411.95 and 172.15 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.17 : 411.95 = 172.15 : x
  2. Step 2: Convert to fraction form
    275.17/411.95 = 172.15/x
  3. Step 3: Cross multiply
    275.17x = 411.95 × 172.15
  4. Step 4: Simplify right side
    275.17x = 70,914.70
  5. Step 5: Solve for x
    x = 70,914.70/275.17
  6. Step 6: Final answer
    x = 257.71

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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.