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Finding the Fourth Proportional to 349.50, 522.80 and 310.49

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Solution

The fourth proportional to 349.50, 522.80 and 310.49 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 522.80 = 310.49 : x
  2. Step 2: Convert to fraction form
    349.50/522.80 = 310.49/x
  3. Step 3: Cross multiply
    349.50x = 522.80 × 310.49
  4. Step 4: Simplify right side
    349.50x = 162,324.17
  5. Step 5: Solve for x
    x = 162,324.17/349.50
  6. Step 6: Final answer
    x = 464.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.