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Finding the Fourth Proportional to 616.90, 851.51 and 355.09

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Solution

The fourth proportional to 616.90, 851.51 and 355.09 is: 490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.90 : 851.51 = 355.09 : x
  2. Step 2: Convert to fraction form
    616.90/851.51 = 355.09/x
  3. Step 3: Cross multiply
    616.90x = 851.51 × 355.09
  4. Step 4: Simplify right side
    616.90x = 302,356.65
  5. Step 5: Solve for x
    x = 302,356.65/616.90
  6. Step 6: Final answer
    x = 490.13

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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.