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Finding the Fourth Proportional to 616.27, 850.36 and 367.60

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Solution

The fourth proportional to 616.27, 850.36 and 367.60 is: 507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.27 : 850.36 = 367.60 : x
  2. Step 2: Convert to fraction form
    616.27/850.36 = 367.60/x
  3. Step 3: Cross multiply
    616.27x = 850.36 × 367.60
  4. Step 4: Simplify right side
    616.27x = 312,586.25
  5. Step 5: Solve for x
    x = 312,586.25/616.27
  6. Step 6: Final answer
    x = 507.23

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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.