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Finding the Fourth Proportional to 193.21, 289.91 and 147.85

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Solution

The fourth proportional to 193.21, 289.91 and 147.85 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.21 : 289.91 = 147.85 : x
  2. Step 2: Convert to fraction form
    193.21/289.91 = 147.85/x
  3. Step 3: Cross multiply
    193.21x = 289.91 × 147.85
  4. Step 4: Simplify right side
    193.21x = 42,863.19
  5. Step 5: Solve for x
    x = 42,863.19/193.21
  6. Step 6: Final answer
    x = 221.85

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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.