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Finding the Fourth Proportional to 193.59, 289.24 and 144.45

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Solution

The fourth proportional to 193.59, 289.24 and 144.45 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 289.24 = 144.45 : x
  2. Step 2: Convert to fraction form
    193.59/289.24 = 144.45/x
  3. Step 3: Cross multiply
    193.59x = 289.24 × 144.45
  4. Step 4: Simplify right side
    193.59x = 41,780.36
  5. Step 5: Solve for x
    x = 41,780.36/193.59
  6. Step 6: Final answer
    x = 215.82

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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.