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Finding the Fourth Proportional to 289.02, 397.97 and 195.72

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Solution

The fourth proportional to 289.02, 397.97 and 195.72 is: 269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 397.97 = 195.72 : x
  2. Step 2: Convert to fraction form
    289.02/397.97 = 195.72/x
  3. Step 3: Cross multiply
    289.02x = 397.97 × 195.72
  4. Step 4: Simplify right side
    289.02x = 77,890.69
  5. Step 5: Solve for x
    x = 77,890.69/289.02
  6. Step 6: Final answer
    x = 269.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.