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Finding the Fourth Proportional to 349.36, 482.03 and 209.52

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Solution

The fourth proportional to 349.36, 482.03 and 209.52 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 482.03 = 209.52 : x
  2. Step 2: Convert to fraction form
    349.36/482.03 = 209.52/x
  3. Step 3: Cross multiply
    349.36x = 482.03 × 209.52
  4. Step 4: Simplify right side
    349.36x = 100,994.93
  5. Step 5: Solve for x
    x = 100,994.93/349.36
  6. Step 6: Final answer
    x = 289.09

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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.