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Finding the Fourth Proportional to 616.02, 850.30 and 354.22

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Solution

The fourth proportional to 616.02, 850.30 and 354.22 is: 488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 850.30 = 354.22 : x
  2. Step 2: Convert to fraction form
    616.02/850.30 = 354.22/x
  3. Step 3: Cross multiply
    616.02x = 850.30 × 354.22
  4. Step 4: Simplify right side
    616.02x = 301,193.27
  5. Step 5: Solve for x
    x = 301,193.27/616.02
  6. Step 6: Final answer
    x = 488.93

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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.