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Finding the Fourth Proportional to 289.50, 397.31 and 261.82

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Solution

The fourth proportional to 289.50, 397.31 and 261.82 is: 359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 397.31 = 261.82 : x
  2. Step 2: Convert to fraction form
    289.50/397.31 = 261.82/x
  3. Step 3: Cross multiply
    289.50x = 397.31 × 261.82
  4. Step 4: Simplify right side
    289.50x = 104,023.70
  5. Step 5: Solve for x
    x = 104,023.70/289.50
  6. Step 6: Final answer
    x = 359.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.