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Finding the Fourth Proportional to 611.02, 843.18 and 362.19

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Solution

The fourth proportional to 611.02, 843.18 and 362.19 is: 499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 843.18 = 362.19 : x
  2. Step 2: Convert to fraction form
    611.02/843.18 = 362.19/x
  3. Step 3: Cross multiply
    611.02x = 843.18 × 362.19
  4. Step 4: Simplify right side
    611.02x = 305,388.20
  5. Step 5: Solve for x
    x = 305,388.20/611.02
  6. Step 6: Final answer
    x = 499.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.