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Finding the Fourth Proportional to 193.11, 288.79 and 144.40

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Solution

The fourth proportional to 193.11, 288.79 and 144.40 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 288.79 = 144.40 : x
  2. Step 2: Convert to fraction form
    193.11/288.79 = 144.40/x
  3. Step 3: Cross multiply
    193.11x = 288.79 × 144.40
  4. Step 4: Simplify right side
    193.11x = 41,699.11
  5. Step 5: Solve for x
    x = 41,699.11/193.11
  6. Step 6: Final answer
    x = 215.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.