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Finding the Fourth Proportional to 198.51, 296.43 and 177.81

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Solution

The fourth proportional to 198.51, 296.43 and 177.81 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 296.43 = 177.81 : x
  2. Step 2: Convert to fraction form
    198.51/296.43 = 177.81/x
  3. Step 3: Cross multiply
    198.51x = 296.43 × 177.81
  4. Step 4: Simplify right side
    198.51x = 52,708.22
  5. Step 5: Solve for x
    x = 52,708.22/198.51
  6. Step 6: Final answer
    x = 265.52

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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.