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Finding the Fourth Proportional to 349.62, 522.11 and 298.35

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Solution

The fourth proportional to 349.62, 522.11 and 298.35 is: 445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 522.11 = 298.35 : x
  2. Step 2: Convert to fraction form
    349.62/522.11 = 298.35/x
  3. Step 3: Cross multiply
    349.62x = 522.11 × 298.35
  4. Step 4: Simplify right side
    349.62x = 155,771.52
  5. Step 5: Solve for x
    x = 155,771.52/349.62
  6. Step 6: Final answer
    x = 445.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.