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Finding the Fourth Proportional to 615.50, 849.42 and 353.66

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Solution

The fourth proportional to 615.50, 849.42 and 353.66 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.50 : 849.42 = 353.66 : x
  2. Step 2: Convert to fraction form
    615.50/849.42 = 353.66/x
  3. Step 3: Cross multiply
    615.50x = 849.42 × 353.66
  4. Step 4: Simplify right side
    615.50x = 300,405.88
  5. Step 5: Solve for x
    x = 300,405.88/615.50
  6. Step 6: Final answer
    x = 488.07

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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.