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Finding the Fourth Proportional to 193.49, 288.56 and 171.82

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Solution

The fourth proportional to 193.49, 288.56 and 171.82 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 288.56 = 171.82 : x
  2. Step 2: Convert to fraction form
    193.49/288.56 = 171.82/x
  3. Step 3: Cross multiply
    193.49x = 288.56 × 171.82
  4. Step 4: Simplify right side
    193.49x = 49,581.17
  5. Step 5: Solve for x
    x = 49,581.17/193.49
  6. Step 6: Final answer
    x = 256.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.