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Finding the Fourth Proportional to 349.49, 482.28 and 209.70

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Solution

The fourth proportional to 349.49, 482.28 and 209.70 is: 289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.49 : 482.28 = 209.70 : x
  2. Step 2: Convert to fraction form
    349.49/482.28 = 209.70/x
  3. Step 3: Cross multiply
    349.49x = 482.28 × 209.70
  4. Step 4: Simplify right side
    349.49x = 101,134.12
  5. Step 5: Solve for x
    x = 101,134.12/349.49
  6. Step 6: Final answer
    x = 289.38

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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.