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Finding the Fourth Proportional to 193.14, 288.02 and 178.18

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Solution

The fourth proportional to 193.14, 288.02 and 178.18 is: 265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 288.02 = 178.18 : x
  2. Step 2: Convert to fraction form
    193.14/288.02 = 178.18/x
  3. Step 3: Cross multiply
    193.14x = 288.02 × 178.18
  4. Step 4: Simplify right side
    193.14x = 51,319.40
  5. Step 5: Solve for x
    x = 51,319.40/193.14
  6. Step 6: Final answer
    x = 265.71

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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.