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Finding the Fourth Proportional to 289.90, 434.87 and 166.51

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Solution

The fourth proportional to 289.90, 434.87 and 166.51 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 434.87 = 166.51 : x
  2. Step 2: Convert to fraction form
    289.90/434.87 = 166.51/x
  3. Step 3: Cross multiply
    289.90x = 434.87 × 166.51
  4. Step 4: Simplify right side
    289.90x = 72,410.20
  5. Step 5: Solve for x
    x = 72,410.20/289.90
  6. Step 6: Final answer
    x = 249.78

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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.