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Finding the Fourth Proportional to 289.72, 434.60 and 193.24

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Solution

The fourth proportional to 289.72, 434.60 and 193.24 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.72 : 434.60 = 193.24 : x
  2. Step 2: Convert to fraction form
    289.72/434.60 = 193.24/x
  3. Step 3: Cross multiply
    289.72x = 434.60 × 193.24
  4. Step 4: Simplify right side
    289.72x = 83,982.10
  5. Step 5: Solve for x
    x = 83,982.10/289.72
  6. Step 6: Final answer
    x = 289.87

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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.