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Finding the Fourth Proportional to 289.97, 434.79 and 187.29

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Solution

The fourth proportional to 289.97, 434.79 and 187.29 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 434.79 = 187.29 : x
  2. Step 2: Convert to fraction form
    289.97/434.79 = 187.29/x
  3. Step 3: Cross multiply
    289.97x = 434.79 × 187.29
  4. Step 4: Simplify right side
    289.97x = 81,431.82
  5. Step 5: Solve for x
    x = 81,431.82/289.97
  6. Step 6: Final answer
    x = 280.83

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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.