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Finding the Fourth Proportional to 349.35, 482.02 and 199.96

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Solution

The fourth proportional to 349.35, 482.02 and 199.96 is: 275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 482.02 = 199.96 : x
  2. Step 2: Convert to fraction form
    349.35/482.02 = 199.96/x
  3. Step 3: Cross multiply
    349.35x = 482.02 × 199.96
  4. Step 4: Simplify right side
    349.35x = 96,384.72
  5. Step 5: Solve for x
    x = 96,384.72/349.35
  6. Step 6: Final answer
    x = 275.90

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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.