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Finding the Fourth Proportional to 193.41, 288.72 and 167.81

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Solution

The fourth proportional to 193.41, 288.72 and 167.81 is: 250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 288.72 = 167.81 : x
  2. Step 2: Convert to fraction form
    193.41/288.72 = 167.81/x
  3. Step 3: Cross multiply
    193.41x = 288.72 × 167.81
  4. Step 4: Simplify right side
    193.41x = 48,448.66
  5. Step 5: Solve for x
    x = 48,448.66/193.41
  6. Step 6: Final answer
    x = 250.50

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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.