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Finding the Fourth Proportional to 198.17, 296.55 and 192.32

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Solution

The fourth proportional to 198.17, 296.55 and 192.32 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.17 : 296.55 = 192.32 : x
  2. Step 2: Convert to fraction form
    198.17/296.55 = 192.32/x
  3. Step 3: Cross multiply
    198.17x = 296.55 × 192.32
  4. Step 4: Simplify right side
    198.17x = 57,032.50
  5. Step 5: Solve for x
    x = 57,032.50/198.17
  6. Step 6: Final answer
    x = 287.80

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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.