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Finding the Fourth Proportional to 404.92, 607.34 and 112.44

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Solution

The fourth proportional to 404.92, 607.34 and 112.44 is: 168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.92 : 607.34 = 112.44 : x
  2. Step 2: Convert to fraction form
    404.92/607.34 = 112.44/x
  3. Step 3: Cross multiply
    404.92x = 607.34 × 112.44
  4. Step 4: Simplify right side
    404.92x = 68,289.31
  5. Step 5: Solve for x
    x = 68,289.31/404.92
  6. Step 6: Final answer
    x = 168.65

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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.