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Finding the Fourth Proportional to 198.64, 296.49 and 175.58

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Solution

The fourth proportional to 198.64, 296.49 and 175.58 is: 262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 296.49 = 175.58 : x
  2. Step 2: Convert to fraction form
    198.64/296.49 = 175.58/x
  3. Step 3: Cross multiply
    198.64x = 296.49 × 175.58
  4. Step 4: Simplify right side
    198.64x = 52,057.71
  5. Step 5: Solve for x
    x = 52,057.71/198.64
  6. Step 6: Final answer
    x = 262.07

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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.