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Finding the Fourth Proportional to 193.50, 288.96 and 162.81

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Solution

The fourth proportional to 193.50, 288.96 and 162.81 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 288.96 = 162.81 : x
  2. Step 2: Convert to fraction form
    193.50/288.96 = 162.81/x
  3. Step 3: Cross multiply
    193.50x = 288.96 × 162.81
  4. Step 4: Simplify right side
    193.50x = 47,045.58
  5. Step 5: Solve for x
    x = 47,045.58/193.50
  6. Step 6: Final answer
    x = 243.13

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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.