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Finding the Fourth Proportional to 193.74, 291.33 and 178.62

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Solution

The fourth proportional to 193.74, 291.33 and 178.62 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.74 : 291.33 = 178.62 : x
  2. Step 2: Convert to fraction form
    193.74/291.33 = 178.62/x
  3. Step 3: Cross multiply
    193.74x = 291.33 × 178.62
  4. Step 4: Simplify right side
    193.74x = 52,037.36
  5. Step 5: Solve for x
    x = 52,037.36/193.74
  6. Step 6: Final answer
    x = 268.59

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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.