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Finding the Fourth Proportional to 193.79, 291.90 and 180.83

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Solution

The fourth proportional to 193.79, 291.90 and 180.83 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 291.90 = 180.83 : x
  2. Step 2: Convert to fraction form
    193.79/291.90 = 180.83/x
  3. Step 3: Cross multiply
    193.79x = 291.90 × 180.83
  4. Step 4: Simplify right side
    193.79x = 52,785.68
  5. Step 5: Solve for x
    x = 52,785.68/193.79
  6. Step 6: Final answer
    x = 272.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.