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Finding the Fourth Proportional to 615.85, 849.86 and 353.86

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Solution

The fourth proportional to 615.85, 849.86 and 353.86 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.85 : 849.86 = 353.86 : x
  2. Step 2: Convert to fraction form
    615.85/849.86 = 353.86/x
  3. Step 3: Cross multiply
    615.85x = 849.86 × 353.86
  4. Step 4: Simplify right side
    615.85x = 300,730.22
  5. Step 5: Solve for x
    x = 300,730.22/615.85
  6. Step 6: Final answer
    x = 488.32

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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.