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Finding the Fourth Proportional to 193.18, 289.83 and 101.87

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Solution

The fourth proportional to 193.18, 289.83 and 101.87 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.18 : 289.83 = 101.87 : x
  2. Step 2: Convert to fraction form
    193.18/289.83 = 101.87/x
  3. Step 3: Cross multiply
    193.18x = 289.83 × 101.87
  4. Step 4: Simplify right side
    193.18x = 29,524.98
  5. Step 5: Solve for x
    x = 29,524.98/193.18
  6. Step 6: Final answer
    x = 152.84

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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.