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Finding the Fourth Proportional to 193.04, 288.16 and 171.68

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Solution

The fourth proportional to 193.04, 288.16 and 171.68 is: 256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 288.16 = 171.68 : x
  2. Step 2: Convert to fraction form
    193.04/288.16 = 171.68/x
  3. Step 3: Cross multiply
    193.04x = 288.16 × 171.68
  4. Step 4: Simplify right side
    193.04x = 49,471.31
  5. Step 5: Solve for x
    x = 49,471.31/193.04
  6. Step 6: Final answer
    x = 256.27

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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.