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Finding the Fourth Proportional to 193.46, 291.33 and 171.99

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Solution

The fourth proportional to 193.46, 291.33 and 171.99 is: 259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 291.33 = 171.99 : x
  2. Step 2: Convert to fraction form
    193.46/291.33 = 171.99/x
  3. Step 3: Cross multiply
    193.46x = 291.33 × 171.99
  4. Step 4: Simplify right side
    193.46x = 50,105.85
  5. Step 5: Solve for x
    x = 50,105.85/193.46
  6. Step 6: Final answer
    x = 259.01

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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.