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Finding the Fourth Proportional to 611.02, 843.14 and 362.36

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Solution

The fourth proportional to 611.02, 843.14 and 362.36 is: 500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 843.14 = 362.36 : x
  2. Step 2: Convert to fraction form
    611.02/843.14 = 362.36/x
  3. Step 3: Cross multiply
    611.02x = 843.14 × 362.36
  4. Step 4: Simplify right side
    611.02x = 305,520.21
  5. Step 5: Solve for x
    x = 305,520.21/611.02
  6. Step 6: Final answer
    x = 500.02

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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.