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Finding the Fourth Proportional to 193.79, 291.84 and 172.43

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Solution

The fourth proportional to 193.79, 291.84 and 172.43 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 291.84 = 172.43 : x
  2. Step 2: Convert to fraction form
    193.79/291.84 = 172.43/x
  3. Step 3: Cross multiply
    193.79x = 291.84 × 172.43
  4. Step 4: Simplify right side
    193.79x = 50,320.96
  5. Step 5: Solve for x
    x = 50,320.96/193.79
  6. Step 6: Final answer
    x = 259.66

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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.