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Finding the Fourth Proportional to 800.04, 1,199.96 and 215.09

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Solution

The fourth proportional to 800.04, 1,199.96 and 215.09 is: 322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.04 : 1,199.96 = 215.09 : x
  2. Step 2: Convert to fraction form
    800.04/1,199.96 = 215.09/x
  3. Step 3: Cross multiply
    800.04x = 1,199.96 × 215.09
  4. Step 4: Simplify right side
    800.04x = 258,092.32
  5. Step 5: Solve for x
    x = 258,092.32/800.04
  6. Step 6: Final answer
    x = 322.60

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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.