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Finding the Fourth Proportional to 292.79, 439.17 and 107.82

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Solution

The fourth proportional to 292.79, 439.17 and 107.82 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.79 : 439.17 = 107.82 : x
  2. Step 2: Convert to fraction form
    292.79/439.17 = 107.82/x
  3. Step 3: Cross multiply
    292.79x = 439.17 × 107.82
  4. Step 4: Simplify right side
    292.79x = 47,351.31
  5. Step 5: Solve for x
    x = 47,351.31/292.79
  6. Step 6: Final answer
    x = 161.72

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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.