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Finding the Fourth Proportional to 874.65, 1,311.98 and 225.36

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Solution

The fourth proportional to 874.65, 1,311.98 and 225.36 is: 338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.65 : 1,311.98 = 225.36 : x
  2. Step 2: Convert to fraction form
    874.65/1,311.98 = 225.36/x
  3. Step 3: Cross multiply
    874.65x = 1,311.98 × 225.36
  4. Step 4: Simplify right side
    874.65x = 295,667.81
  5. Step 5: Solve for x
    x = 295,667.81/874.65
  6. Step 6: Final answer
    x = 338.04

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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.