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Finding the Fourth Proportional to 193.08, 291.81 and 189.72

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Solution

The fourth proportional to 193.08, 291.81 and 189.72 is: 286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 291.81 = 189.72 : x
  2. Step 2: Convert to fraction form
    193.08/291.81 = 189.72/x
  3. Step 3: Cross multiply
    193.08x = 291.81 × 189.72
  4. Step 4: Simplify right side
    193.08x = 55,362.19
  5. Step 5: Solve for x
    x = 55,362.19/193.08
  6. Step 6: Final answer
    x = 286.73

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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.