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Finding the Fourth Proportional to 275.11, 411.78 and 172.48

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Solution

The fourth proportional to 275.11, 411.78 and 172.48 is: 258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.11 : 411.78 = 172.48 : x
  2. Step 2: Convert to fraction form
    275.11/411.78 = 172.48/x
  3. Step 3: Cross multiply
    275.11x = 411.78 × 172.48
  4. Step 4: Simplify right side
    275.11x = 71,023.81
  5. Step 5: Solve for x
    x = 71,023.81/275.11
  6. Step 6: Final answer
    x = 258.17

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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.