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Finding the Fourth Proportional to 193.80, 291.28 and 129.02

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Solution

The fourth proportional to 193.80, 291.28 and 129.02 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 291.28 = 129.02 : x
  2. Step 2: Convert to fraction form
    193.80/291.28 = 129.02/x
  3. Step 3: Cross multiply
    193.80x = 291.28 × 129.02
  4. Step 4: Simplify right side
    193.80x = 37,581.05
  5. Step 5: Solve for x
    x = 37,581.05/193.80
  6. Step 6: Final answer
    x = 193.91

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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.