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Finding the Fourth Proportional to 193.40, 288.47 and 179.96

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Solution

The fourth proportional to 193.40, 288.47 and 179.96 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 288.47 = 179.96 : x
  2. Step 2: Convert to fraction form
    193.40/288.47 = 179.96/x
  3. Step 3: Cross multiply
    193.40x = 288.47 × 179.96
  4. Step 4: Simplify right side
    193.40x = 51,913.06
  5. Step 5: Solve for x
    x = 51,913.06/193.40
  6. Step 6: Final answer
    x = 268.42

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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.