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Finding the Fourth Proportional to 297.05, 409.87 and 172.71

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Solution

The fourth proportional to 297.05, 409.87 and 172.71 is: 238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.05 : 409.87 = 172.71 : x
  2. Step 2: Convert to fraction form
    297.05/409.87 = 172.71/x
  3. Step 3: Cross multiply
    297.05x = 409.87 × 172.71
  4. Step 4: Simplify right side
    297.05x = 70,788.65
  5. Step 5: Solve for x
    x = 70,788.65/297.05
  6. Step 6: Final answer
    x = 238.31

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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.