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Finding the Fourth Proportional to 289.97, 434.73 and 208.87

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Solution

The fourth proportional to 289.97, 434.73 and 208.87 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 434.73 = 208.87 : x
  2. Step 2: Convert to fraction form
    289.97/434.73 = 208.87/x
  3. Step 3: Cross multiply
    289.97x = 434.73 × 208.87
  4. Step 4: Simplify right side
    289.97x = 90,800.97
  5. Step 5: Solve for x
    x = 90,800.97/289.97
  6. Step 6: Final answer
    x = 313.14

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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.