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Finding the Fourth Proportional to 551.39, 760.78 and 355.16

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Solution

The fourth proportional to 551.39, 760.78 and 355.16 is: 490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.39 : 760.78 = 355.16 : x
  2. Step 2: Convert to fraction form
    551.39/760.78 = 355.16/x
  3. Step 3: Cross multiply
    551.39x = 760.78 × 355.16
  4. Step 4: Simplify right side
    551.39x = 270,198.62
  5. Step 5: Solve for x
    x = 270,198.62/551.39
  6. Step 6: Final answer
    x = 490.03

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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.