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Finding the Fourth Proportional to 199.38, 297.45 and 172.38

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Solution

The fourth proportional to 199.38, 297.45 and 172.38 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.38 : 297.45 = 172.38 : x
  2. Step 2: Convert to fraction form
    199.38/297.45 = 172.38/x
  3. Step 3: Cross multiply
    199.38x = 297.45 × 172.38
  4. Step 4: Simplify right side
    199.38x = 51,274.43
  5. Step 5: Solve for x
    x = 51,274.43/199.38
  6. Step 6: Final answer
    x = 257.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.