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Finding the Fourth Proportional to 349.11, 482.38 and 286.89

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Solution

The fourth proportional to 349.11, 482.38 and 286.89 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.11 : 482.38 = 286.89 : x
  2. Step 2: Convert to fraction form
    349.11/482.38 = 286.89/x
  3. Step 3: Cross multiply
    349.11x = 482.38 × 286.89
  4. Step 4: Simplify right side
    349.11x = 138,390.99
  5. Step 5: Solve for x
    x = 138,390.99/349.11
  6. Step 6: Final answer
    x = 396.41

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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.