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Finding the Fourth Proportional to 289.10, 398.89 and 178.54

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Solution

The fourth proportional to 289.10, 398.89 and 178.54 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 398.89 = 178.54 : x
  2. Step 2: Convert to fraction form
    289.10/398.89 = 178.54/x
  3. Step 3: Cross multiply
    289.10x = 398.89 × 178.54
  4. Step 4: Simplify right side
    289.10x = 71,217.82
  5. Step 5: Solve for x
    x = 71,217.82/289.10
  6. Step 6: Final answer
    x = 246.34

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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.