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Finding the Fourth Proportional to 551, 760.40 and 344.12

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Solution

The fourth proportional to 551, 760.40 and 344.12 is: 474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551 : 760.40 = 344.12 : x
  2. Step 2: Convert to fraction form
    551/760.40 = 344.12/x
  3. Step 3: Cross multiply
    551x = 760.40 × 344.12
  4. Step 4: Simplify right side
    551x = 261,668.85
  5. Step 5: Solve for x
    x = 261,668.85/551
  6. Step 6: Final answer
    x = 474.90

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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.