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Finding the Fourth Proportional to 349.62, 485.64 and 344.04

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Solution

The fourth proportional to 349.62, 485.64 and 344.04 is: 477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 485.64 = 344.04 : x
  2. Step 2: Convert to fraction form
    349.62/485.64 = 344.04/x
  3. Step 3: Cross multiply
    349.62x = 485.64 × 344.04
  4. Step 4: Simplify right side
    349.62x = 167,077.76
  5. Step 5: Solve for x
    x = 167,077.76/349.62
  6. Step 6: Final answer
    x = 477.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.