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Finding the Fourth Proportional to 297.42, 410.41 and 172.99

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Solution

The fourth proportional to 297.42, 410.41 and 172.99 is: 238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 410.41 = 172.99 : x
  2. Step 2: Convert to fraction form
    297.42/410.41 = 172.99/x
  3. Step 3: Cross multiply
    297.42x = 410.41 × 172.99
  4. Step 4: Simplify right side
    297.42x = 70,996.83
  5. Step 5: Solve for x
    x = 70,996.83/297.42
  6. Step 6: Final answer
    x = 238.71

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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.