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Finding the Fourth Proportional to 198.50, 296.21 and 172.58

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Solution

The fourth proportional to 198.50, 296.21 and 172.58 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 296.21 = 172.58 : x
  2. Step 2: Convert to fraction form
    198.50/296.21 = 172.58/x
  3. Step 3: Cross multiply
    198.50x = 296.21 × 172.58
  4. Step 4: Simplify right side
    198.50x = 51,119.92
  5. Step 5: Solve for x
    x = 51,119.92/198.50
  6. Step 6: Final answer
    x = 257.53

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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.