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Finding the Fourth Proportional to 616.08, 850.23 and 354.09

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Solution

The fourth proportional to 616.08, 850.23 and 354.09 is: 488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 850.23 = 354.09 : x
  2. Step 2: Convert to fraction form
    616.08/850.23 = 354.09/x
  3. Step 3: Cross multiply
    616.08x = 850.23 × 354.09
  4. Step 4: Simplify right side
    616.08x = 301,057.94
  5. Step 5: Solve for x
    x = 301,057.94/616.08
  6. Step 6: Final answer
    x = 488.67

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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.