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Finding the Fourth Proportional to 617.20, 851.76 and 355.28

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Solution

The fourth proportional to 617.20, 851.76 and 355.28 is: 490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 851.76 = 355.28 : x
  2. Step 2: Convert to fraction form
    617.20/851.76 = 355.28/x
  3. Step 3: Cross multiply
    617.20x = 851.76 × 355.28
  4. Step 4: Simplify right side
    617.20x = 302,613.29
  5. Step 5: Solve for x
    x = 302,613.29/617.20
  6. Step 6: Final answer
    x = 490.30

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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.